Expression

Problem 9401

Simplify the expression: $\left(5 z y^{2}\right)^{2}\left(z y^{4}\right)^{3}$ .

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Problem 9402

Calculate the distance between -0.7 and -10.6.

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Problem 9403

Calculate the distance between 9.5 and -2.2. Use the formula $d = |9.5 - (-2.2)|$ . Click "try" when finished.

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Problem 9404

Find the distance between -5.4 and 8.7. Use the formula $d = |x_1 - x_2|$ .

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Problem 9405

Calculate $20.53 \times 1.55 + 0.02$ .

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Problem 9406

Rewrite the expression: $4(5b + 6c)$ .

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Problem 9407

Calculate the product of 6.03, 0.55, and 1.12.

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Problem 9408

Rewrite the expression $2(5x + 10y)$ in an equivalent form.

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Problem 9409

Evaluate the expression: $-\frac{3}{4} \div \frac{8}{9}$ and express your answer as a simplified fraction.

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Problem 9410

Calculate the product of 4 and 9: $4 \cdot 9$ .

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Problem 9411

Evaluate the expression: $\frac{4}{7} \cdot -\frac{2}{5}$ and express your answer as a simplified fraction.

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Problem 9412

Multiply: 4 yd $1 \mathrm{ft} \times 8$

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Problem 9413

Subtract 185 from 403 and 219 from 403. What are the results?

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Problem 9414

Determine if the following statements are True or False about unit rates: a. The ratio $\frac{3}{8}$ to $\frac{1}{2}$ has a unit rate of $\frac{3}{16}$ . b. The ratio $9: \frac{1}{6}$ has a unit rate of 54. c. The ratio $\frac{2}{5}: \frac{1}{4}$ has a unit rate of $\frac{8}{5}$ . d. The ratio $5 \frac{1}{2}: 1 \frac{1}{2}$ has a unit rate of $3 \frac{2}{3}$ .

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Problem 9415

Calculate $604 - 405$ .

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Problem 9416

Calculate $\frac{\left(4 \times 10^{-5}\right)^{2}}{\left(2 \times 10^{6}\right)^{3}}$ .

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Problem 9417

Estimate the number of bus seats needed for 173 third graders and 124 fourth graders if each seat fits 3 students.

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Problem 9418

Calculate the following: (a) $1.600 \times 10^{-7} \times 2.1 \times 10^{3}$ , (b) $(1.33)^{3}$ , (c) $1.93 \times 2.651$ , (d) $4.4 / 2.200$ .

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Problem 9419

What is the expression for the quotient of a number $n$ divided by 4?

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Problem 9420

Order of Operations: Find the missing expressions for Step 2 and Step 6 in the calculation of $\left(\frac{6^{2}+2}{|-0.5|}\right)-14.8 \div 8$ .

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Problem 9421

Calculate the perimeter of a triangle with sides $-x^2 + 9$ , $8x + 3$ , and $2x^2 + 4$ inches.

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Problem 9422

Calculate the value of $\sin 62^{\circ}$ .

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Problem 9423

Calculate the following products: $5(0)$ , $(-3)(-4)$ , $-2(9)$ , and $2(-6)$ .

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Problem 9424

Calculate the following: 1. $10(-5)$ 2. $-1(-1)$

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Problem 9425

Ayumi cooked meals for 80 people. What property did she use in Step 3: $(27+13)+(21+19)$ ?

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Problem 9426

Factor the expression $y + x^{2} y^{3}$ .

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Problem 9427

Calculate the value of $-2(-2)$ .

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Problem 9428

Calculate the following: (1) $6 \times -6$ , (2) $7 \times -10$ , and (3) $12 - 2 \times -2$ .

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Problem 9429

The temperature drops 1 degree per hour for 3 hours. What is the total temperature change after 3 hours?

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Problem 9430

What is the total gallons of gas Yoko bought last week if she filled her tank with 9.86, 9, and 17.2 gallons?

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Problem 9431

What is the total length of the wires measuring 1.06 cm, 17 cm, 4.4 cm, and 15.2 cm?

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Problem 9432

Amanda cuts 5.43 meters from a 15-meter rope. What is the remaining length? $15 - 5.43 = [I]$ meters.

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Problem 9433

Find the expression for the total feet of landscaping timbers needed for gardens with sides $2x+4$ , $12x-6$ , $5x-7$ , and $7x-5$ .

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Problem 9434

Find two decimals equivalent to $(8 \times 100) + \left(3 \times \frac{1}{10}\right) + \left(6 \times \frac{1}{100}\right)$ .

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Problem 9435

Factor the expression: $5 x(7 x-5)$ .

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Problem 9436

Convert $987 \times 10^{-30} \mathrm{ml}$ to $\mathrm{Tl}$ .

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Problem 9437

Convert $9.87 \times 10^{-30} \mathrm{ml}$ to liters in trillionths.

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Problem 9438

Francisco uses $\frac{1}{6}$ lb garlic and $\frac{2}{5}$ lb butter. What is the total weight of garlic and butter?

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Problem 9439

Factor the trinomial: $5 x^{2}+21 x+18$

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Problem 9440

Evaluate expressions and roots: 25. $4^{2}+2^{4}$ , 27. $-3^{4}-3$ , 33. $\sqrt{196}$ , 37. $\sqrt{11}$ , etc.

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Problem 9441

Calculate $(1.201 \times 10^{3}) \times (1.2 \times 10^{-2})$ .

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Problem 9442

Identify if each expression matches "negative seven times the quantity triple $m$ minus eleven."

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Problem 9443

10. Which expressions can evaluate $418(27)$ ? (A) $418(20-7)$ (B) $(420-2)(27)$ (C) $(400-18)(27)$ (D) $(418)(20+7)$ (E) $(418)(30-3)$
11. Does each expression equal negative seven times triple $m$ minus eleven? $-7(m^{3}-11)$ $-7(3 m)-7(-11)$ $-21 m-77$ $-21 m+77$ $-21 m-11$ $-7 m^{3}+77$
12. What is the simplified form of $-8(2 m+9 k-13)$ ? (A) $-16 m+9 k-13$ (B) $-16 m-72 k+104$ (C) $-16 m-72 k-104$ (D) $16 m-72 k-104$

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Problem 9444

Evaluate $5\left[13-\left(3^{2}+2^{2}\right)\right]$ and find which is NOT equivalent to $2 \cdot 3 \frac{5}{6}+2 \cdot 12+2 \cdot 1 \frac{1}{6}$ .

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Problem 9445

Find the slope between the points $(3,5)$ and $(-7,-10)$ .

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Problem 9446

Write an expression for 5 times $(x + 7)$ minus $4^3$ .

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Problem 9447

Calculate: $3(-5)+\frac{7(-9)}{-10+13}$

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Problem 9448

Calculate the distance between the points $(-5,2)$ and $(3,-4)$ .

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Problem 9449

Calculate the heat produced from the combustion of $125 \mathrm{~g}$ of methanol at standard conditions without given heat of combustion.

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Problem 9450

Expand the expression: $(2 x^{2}+x+1)(3 x^{2}-6 x+8)$ into standard polynomial form.

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Problem 9451

Find the total length of landscaping timbers needed for gardens: square $2x+4$ , hexagon $12x-6$ , triangle $5x-7$ , pentagon $7x-5$ .

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Problem 9452

Factor the expression $-44 x^{4} y^{6} + 24 y^{2} z^{2}$ .

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Problem 9453

Factor the expression completely: $-5 p^{3}+p^{2}+25 p-5$ .

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Problem 9454

Identify the subsets of real numbers for these expressions: a. $0-10$ Irrational b. $-3+\sqrt{3}$ Rational c. $\frac{5}{12}+4 \frac{1}{3}$ Integers d. $7 \times \sqrt{49}$ Whole Numbers

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Problem 9455

Is $\frac{\sqrt{10}}{5}$ rational? Is $\sqrt{18} - 3$ rational? Can two irrational numbers sum/quotient to rational? Explain.

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Problem 9456

Simplify by combining like terms: $3 x^{2}-x+12 x-4=$

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Problem 9457

Factor the expression completely: $5 r^{3}-11 r^{2}+6 r$ .

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Problem 9458

Find the value of $-\sqrt[5]{1024}$ . Choices: $-2$ , $-4$ , $-8$ , Not a real number.

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Problem 9459

Factor the expression: $-2 c^{4}-8 c^{3}+10 c^{2}+40 c$ .

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Problem 9460

Factor the expression $6y - 5y - 21$ .

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Problem 9461

Which expression is equivalent to $(\sqrt[5]{8})^{4}$ using rational exponents? Options: $\left(\frac{4}{5}\right)^{8}$ , $\left(\frac{4}{5}\right)^{1 / 8}$ , $8^{5 / 4}$ , $8^{4 / 5}$ .

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Problem 9462

Evaluate $(27)^{-2 / 3}$ and express your answer as a simplified fraction.

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Problem 9463

Evaluate $(1.28 \times 10^{5}) + (1.13 \times 10^{3})$ in scientific notation. Then, $(7.26 \times 10^{6}) - (1.3 \times 10^{4})$ . Lastly, find the mass of $480,000,000$ bacteria if one bacterium has a mass of $2 \times 10^{-12}$ gram.

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Problem 9464

Miguel calculated the quotient $\frac{5.78 \times 10^{5}}{0.000002}$ as 0.289. Identify his error.

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Problem 9465

What is the food cost percent if a loaf of bread costs \ $0.74 to produce and sells for \$4.99? Options:$ 3.7\% $,$ 14.8\% $,$ 6.7\%$.

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Problem 9466

Multiply: $4 x^{2}(3 x^{2}-2 x-3)=$

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Problem 9467

Simplify the expression: $(9xy + 3y^4) - (11y^4 + 9x - 11xy) + (5y^4 - 6xy)$ .

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Problem 9468

Simplify the expression by rationalizing the denominator: $\frac{8}{\sqrt{2}}$ .

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Problem 9469

Rationalize and simplify the expression: $\frac{\sqrt{14}}{\sqrt{10}}$ .

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Problem 9470

Simplify: $2 y \sqrt{75 v^{5}} + v^{2} \sqrt{27 v y^{2}}$ with $y, v > 0$ .

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Problem 9471

Simplify the expression: $\sqrt{18 x^{6} y^{11}}$ , assuming all variables are positive real numbers.

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Problem 9472

Multiply and simplify: $(3 \sqrt{7}-8 \sqrt{2})(5 \sqrt{2}+8 \sqrt{7})$ .

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Problem 9473

Simplify the expression: $z^{-\frac{3}{5}} z^{\frac{4}{3}} z^{-\frac{1}{5}}$ using only positive exponents.

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Problem 9474

Write $\sqrt[4]{14}$ as an exponential expression.

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Problem 9475

Simplify the expression $\frac{a^{4} \cdot b^{2}}{a b^{3}}$ .

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Problem 9476

Simplify the expression: $\sqrt{\frac{27}{75}}$ and provide the answer in simplest form.

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Problem 9477

Simplify the expression: $\frac{a^{3} \cdot a^{2} \cdot b^{4}}{a^{2} \cdot b^{3}}$ .

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Problem 9478

Calculate the value of $\frac{\sqrt{21}}{7}$ .

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Problem 9479

Calculate: $800 \times 8$ , $8,000 \times 8$ , $80,000 \times 8$ , $800,000 \times 8$ , $8,000,000 \times 8$ .

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Problem 9480

Multiply: $(-7 x^{2})(3 x^{2})=$

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Problem 9481

Simplify the expression: $\frac{a b^{6} c^{12}}{b c^{10}}$ .

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Problem 9482

Simplify and add: $2 \sqrt{2} + 2 \sqrt{7}$ . What is the result?

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Problem 9483

Simplify the expression with positive exponents: $\left(\frac{2 a^{2} b^{1}}{3 a^{2} b^{4}}\right)^{3}=$

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Problem 9484

Simplify the expression $\left(\frac{2 a^{2} b^{1}}{3 a^{2} b^{4}}\right)^{3}$ .

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Problem 9485

Calculate: $2 \sqrt{20} - \sqrt{80} =$

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Problem 9486

If lines $m$ and $p$ are parallel and the slope of $m$ is $\frac{1}{25}$ , what is the slope of $p$ ? A. -25 B. $-\frac{1}{25}$ C. $\frac{1}{25}$ D. 25

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Problem 9487

Calculate the expression: $3 \sqrt{32}-2 \sqrt{50}$ .

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Problem 9488

Rationalize the denominator of $\frac{4}{\sqrt{x}+1}$ .

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Problem 9489

Simplify the polynomial expression: $3(x+5)^{2}-3(x+5)+6$ .

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Problem 9490

Simplify the polynomial expression: $2(x-4)^{2}+3(x-4)+1$ .

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Problem 9491

Expand $\left(\frac{5}{3} x+4\right)^{2}$ into a trinomial in simplest form.

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Problem 9492

Expand the expression to standard polynomial form: $(x-1)(-x^{2}+x+9)$ .

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Problem 9493

Expand $\left(\frac{5}{3} x-2\right)^{2}$ into a trinomial in simplest form.

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Problem 9494

Factor the expression $x^{4}-12 x^{2}+32$ .

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Problem 9495

Calculate $(-5)^{17}=$

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Problem 9496

Calculate $4.3^{13}=$

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Problem 9497

Find the area of the shaded region between two rectangles: one is $10 \times 12$ and the other is $6 \times 9$ .

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Problem 9498

Convert $\frac{5}{8}$ to decimal form. Show your work and upload a picture of your solution.

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Problem 9499

Expand the expression: (2x + 1)(x² - 5x - 7) to standard polynomial form.

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Problem 9500

Find the mean number of sports drinks consumed by 26 participants, given frequencies: 7, 5, 4, 4, 3, 2, 1. Round to the nearest tenth.

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1 ...92 93 94 95 96 97 98 ...144

Expression

Problem 9401

Simplify the expression: (5zy2)2(zy4)3\left(5 z y^{2}\right)^{2}\left(z y^{4}\right)^{3}(5zy2)2(zy4)3.

Problem 9402

Calculate the distance between -0.7 and -10.6.

Problem 9403

Calculate the distance between 9.5 and -2.2. Use the formula d=∣9.5−(−2.2)∣d = |9.5 - (-2.2)|d=∣9.5−(−2.2)∣. Click "try" when finished.

Problem 9404

Find the distance between -5.4 and 8.7. Use the formula d=∣x1−x2∣d = |x_1 - x_2|d=∣x1​−x2​∣.

Problem 9405

Calculate 20.53×1.55+0.0220.53 \times 1.55 + 0.0220.53×1.55+0.02.

Problem 9406

Rewrite the expression: 4(5b+6c)4(5b + 6c)4(5b+6c).

Problem 9407

Calculate the product of 6.03, 0.55, and 1.12.

Problem 9408

Rewrite the expression 2(5x+10y)2(5x + 10y)2(5x+10y) in an equivalent form.

Problem 9409

Evaluate the expression: −34÷89-\frac{3}{4} \div \frac{8}{9}−43​÷98​ and express your answer as a simplified fraction.

Problem 9410

Calculate the product of 4 and 9: 4⋅94 \cdot 94⋅9.

Problem 9411

Evaluate the expression: 47⋅−25\frac{4}{7} \cdot -\frac{2}{5}74​⋅−52​ and express your answer as a simplified fraction.

Problem 9412

Multiply: 4 yd 1ft×81 \mathrm{ft} \times 81ft×8

Problem 9413

Subtract 185 from 403 and 219 from 403. What are the results?

Problem 9414

Problem 9415

Calculate 604−405604 - 405604−405.

Problem 9416

Calculate (4×10−5)2(2×106)3\frac{\left(4 \times 10^{-5}\right)^{2}}{\left(2 \times 10^{6}\right)^{3}}(2×106)3(4×10−5)2​.

Problem 9417

Estimate the number of bus seats needed for 173 third graders and 124 fourth graders if each seat fits 3 students.

Problem 9418

Calculate the following: (a) 1.600×10−7×2.1×1031.600 \times 10^{-7} \times 2.1 \times 10^{3}1.600×10−7×2.1×103, (b) (1.33)3(1.33)^{3}(1.33)3, (c) 1.93×2.6511.93 \times 2.6511.93×2.651, (d) 4.4/2.2004.4 / 2.2004.4/2.200.

Problem 9419

What is the expression for the quotient of a number nnn divided by 4?

Problem 9420

Order of Operations: Find the missing expressions for Step 2 and Step 6 in the calculation of (62+2∣−0.5∣)−14.8÷8\left(\frac{6^{2}+2}{|-0.5|}\right)-14.8 \div 8(∣−0.5∣62+2​)−14.8÷8.

Problem 9421

Calculate the perimeter of a triangle with sides −x2+9-x^2 + 9−x2+9, 8x+38x + 38x+3, and 2x2+42x^2 + 42x2+4 inches.

Problem 9422

Calculate the value of sin⁡62∘\sin 62^{\circ}sin62∘.

Problem 9423

Calculate the following products: 5(0)5(0)5(0), (−3)(−4)(-3)(-4)(−3)(−4), −2(9)-2(9)−2(9), and 2(−6)2(-6)2(−6).

Problem 9424

Calculate the following: 1. 10(−5)10(-5)10(−5) 2. −1(−1)-1(-1)−1(−1)

Problem 9425

Ayumi cooked meals for 80 people. What property did she use in Step 3: (27+13)+(21+19)(27+13)+(21+19)(27+13)+(21+19)?

Problem 9426

Factor the expression y+x2y3y + x^{2} y^{3}y+x2y3.

Problem 9427

Calculate the value of −2(−2)-2(-2)−2(−2).

Problem 9428

Calculate the following: (1) 6×−66 \times -66×−6, (2) 7×−107 \times -107×−10, and (3) 12−2×−212 - 2 \times -212−2×−2.

Problem 9429

The temperature drops 1 degree per hour for 3 hours. What is the total temperature change after 3 hours?

Problem 9430

What is the total gallons of gas Yoko bought last week if she filled her tank with 9.86, 9, and 17.2 gallons?

Problem 9431

What is the total length of the wires measuring 1.06 cm, 17 cm, 4.4 cm, and 15.2 cm?

Problem 9432

Amanda cuts 5.43 meters from a 15-meter rope. What is the remaining length? 15−5.43=[I]15 - 5.43 = [I]15−5.43=[I] meters.

Problem 9433

Find the expression for the total feet of landscaping timbers needed for gardens with sides 2x+42x+42x+4, 12x−612x-612x−6, 5x−75x-75x−7, and 7x−57x-57x−5.

Problem 9434

Find two decimals equivalent to (8×100)+(3×110)+(6×1100)(8 \times 100) + \left(3 \times \frac{1}{10}\right) + \left(6 \times \frac{1}{100}\right)(8×100)+(3×101​)+(6×1001​).

Problem 9435

Factor the expression: 5x(7x−5)5 x(7 x-5)5x(7x−5).

Problem 9436

Convert 987×10−30ml987 \times 10^{-30} \mathrm{ml}987×10−30ml to Tl\mathrm{Tl}Tl.

Problem 9437

Convert 9.87×10−30ml9.87 \times 10^{-30} \mathrm{ml}9.87×10−30ml to liters in trillionths.

Problem 9438

Francisco uses 16\frac{1}{6}61​ lb garlic and 25\frac{2}{5}52​ lb butter. What is the total weight of garlic and butter?

Problem 9439

Factor the trinomial: 5x2+21x+185 x^{2}+21 x+185x2+21x+18

Problem 9440

Evaluate expressions and roots: 25. 42+244^{2}+2^{4}42+24, 27. −34−3-3^{4}-3−34−3, 33. 196\sqrt{196}196​, 37. 11\sqrt{11}11​, etc.

Simplify the expression: $\left(5 z y^{2}\right)^{2}\left(z y^{4}\right)^{3}$ .

Calculate the distance between 9.5 and -2.2. Use the formula $d = |9.5 - (-2.2)|$ . Click "try" when finished.

Find the distance between -5.4 and 8.7. Use the formula $d = |x_1 - x_2|$ .

Calculate $20.53 \times 1.55 + 0.02$ .

Rewrite the expression: $4(5b + 6c)$ .

Rewrite the expression $2(5x + 10y)$ in an equivalent form.

Evaluate the expression: $-\frac{3}{4} \div \frac{8}{9}$ and express your answer as a simplified fraction.

Calculate the product of 4 and 9: $4 \cdot 9$ .

Evaluate the expression: $\frac{4}{7} \cdot -\frac{2}{5}$ and express your answer as a simplified fraction.

Multiply: 4 yd $1 \mathrm{ft} \times 8$

Calculate $604 - 405$ .

Calculate $\frac{\left(4 \times 10^{-5}\right)^{2}}{\left(2 \times 10^{6}\right)^{3}}$ .

Calculate the following: (a) $1.600 \times 10^{-7} \times 2.1 \times 10^{3}$ , (b) $(1.33)^{3}$ , (c) $1.93 \times 2.651$ , (d) $4.4 / 2.200$ .

What is the expression for the quotient of a number $n$ divided by 4?

Order of Operations: Find the missing expressions for Step 2 and Step 6 in the calculation of $\left(\frac{6^{2}+2}{|-0.5|}\right)-14.8 \div 8$ .

Calculate the perimeter of a triangle with sides $-x^2 + 9$ , $8x + 3$ , and $2x^2 + 4$ inches.

Calculate the value of $\sin 62^{\circ}$ .

Calculate the following products: $5(0)$ , $(-3)(-4)$ , $-2(9)$ , and $2(-6)$ .

Calculate the following: 1. $10(-5)$ 2. $-1(-1)$

Ayumi cooked meals for 80 people. What property did she use in Step 3: $(27+13)+(21+19)$ ?

Factor the expression $y + x^{2} y^{3}$ .

Calculate the value of $-2(-2)$ .

Calculate the following: (1) $6 \times -6$ , (2) $7 \times -10$ , and (3) $12 - 2 \times -2$ .

Amanda cuts 5.43 meters from a 15-meter rope. What is the remaining length? $15 - 5.43 = [I]$ meters.

Find the expression for the total feet of landscaping timbers needed for gardens with sides $2x+4$ , $12x-6$ , $5x-7$ , and $7x-5$ .

Find two decimals equivalent to $(8 \times 100) + \left(3 \times \frac{1}{10}\right) + \left(6 \times \frac{1}{100}\right)$ .

Factor the expression: $5 x(7 x-5)$ .

Convert $987 \times 10^{-30} \mathrm{ml}$ to $\mathrm{Tl}$ .

Convert $9.87 \times 10^{-30} \mathrm{ml}$ to liters in trillionths.

Francisco uses $\frac{1}{6}$ lb garlic and $\frac{2}{5}$ lb butter. What is the total weight of garlic and butter?

Factor the trinomial: $5 x^{2}+21 x+18$

Evaluate expressions and roots: 25. $4^{2}+2^{4}$ , 27. $-3^{4}-3$ , 33. $\sqrt{196}$ , 37. $\sqrt{11}$ , etc.

Calculate $(1.201 \times 10^{3}) \times (1.2 \times 10^{-2})$ .

Identify if each expression matches "negative seven times the quantity triple $m$ minus eleven."

Evaluate $5\left[13-\left(3^{2}+2^{2}\right)\right]$ and find which is NOT equivalent to $2 \cdot 3 \frac{5}{6}+2 \cdot 12+2 \cdot 1 \frac{1}{6}$ .

Find the slope between the points $(3,5)$ and $(-7,-10)$ .

Write an expression for 5 times $(x + 7)$ minus $4^3$ .

Calculate: $3(-5)+\frac{7(-9)}{-10+13}$

Calculate the distance between the points $(-5,2)$ and $(3,-4)$ .

Calculate the heat produced from the combustion of $125 \mathrm{~g}$ of methanol at standard conditions without given heat of combustion.

Expand the expression: $(2 x^{2}+x+1)(3 x^{2}-6 x+8)$ into standard polynomial form.

Find the total length of landscaping timbers needed for gardens: square $2x+4$ , hexagon $12x-6$ , triangle $5x-7$ , pentagon $7x-5$ .

Factor the expression $-44 x^{4} y^{6} + 24 y^{2} z^{2}$ .

Factor the expression completely: $-5 p^{3}+p^{2}+25 p-5$ .

Identify the subsets of real numbers for these expressions: a. $0-10$ Irrational b. $-3+\sqrt{3}$ Rational c. $\frac{5}{12}+4 \frac{1}{3}$ Integers d. $7 \times \sqrt{49}$ Whole Numbers

Is $\frac{\sqrt{10}}{5}$ rational? Is $\sqrt{18} - 3$ rational? Can two irrational numbers sum/quotient to rational? Explain.

Simplify by combining like terms: $3 x^{2}-x+12 x-4=$

Factor the expression completely: $5 r^{3}-11 r^{2}+6 r$ .

Find the value of $-\sqrt[5]{1024}$ . Choices: $-2$ , $-4$ , $-8$ , Not a real number.

Factor the expression: $-2 c^{4}-8 c^{3}+10 c^{2}+40 c$ .

Factor the expression $6y - 5y - 21$ .

Which expression is equivalent to $(\sqrt[5]{8})^{4}$ using rational exponents? Options: $\left(\frac{4}{5}\right)^{8}$ , $\left(\frac{4}{5}\right)^{1 / 8}$ , $8^{5 / 4}$ , $8^{4 / 5}$ .

Evaluate $(27)^{-2 / 3}$ and express your answer as a simplified fraction.

Miguel calculated the quotient $\frac{5.78 \times 10^{5}}{0.000002}$ as 0.289. Identify his error.

What is the food cost percent if a loaf of bread costs \ $0.74 to produce and sells for \$4.99? Options:$ 3.7\% $,$ 14.8\% $,$ 6.7\%$.

Multiply: $4 x^{2}(3 x^{2}-2 x-3)=$

Simplify the expression: $(9xy + 3y^4) - (11y^4 + 9x - 11xy) + (5y^4 - 6xy)$ .

Simplify the expression by rationalizing the denominator: $\frac{8}{\sqrt{2}}$ .

Rationalize and simplify the expression: $\frac{\sqrt{14}}{\sqrt{10}}$ .

Simplify: $2 y \sqrt{75 v^{5}} + v^{2} \sqrt{27 v y^{2}}$ with $y, v > 0$ .

Simplify the expression: $\sqrt{18 x^{6} y^{11}}$ , assuming all variables are positive real numbers.

Multiply and simplify: $(3 \sqrt{7}-8 \sqrt{2})(5 \sqrt{2}+8 \sqrt{7})$ .

Simplify the expression: $z^{-\frac{3}{5}} z^{\frac{4}{3}} z^{-\frac{1}{5}}$ using only positive exponents.

Write $\sqrt[4]{14}$ as an exponential expression.