Simplify

Problem 2801

$f(x)=\sqrt[3]{x} \text { and } g(x)=x^{3}+8$
Step 1 of 2: Find the formula for $\left(\frac{f}{g}\right)(x)$ and simplify your answer.

See Solution

Problem 2802

Chasity is asked to solve the equation $\frac{81^{x(x+2)}}{3^{5 x-7}}=9^{x-8}$ . She is able to simplify the equation to the form $4 x^{2}+b x+c=0$ . the value of $c$ is $-15$ 1 23 9

See Solution

Problem 2803

Suppose $\int_{0}^{3} f(x) d x=2, \int_{3}^{5} f(x) d x=-4$ , and $\int_{3}^{5} g(x) d x=1$ . Evaluate the integrals in parts a $-d$ . a. $\int_{0}^{3} 4 f(x) d x=8$ (Simplify your answer.) b. $\int_{3}^{5}-9 g(x) d x=\square$ (Simplify your answer.)

See Solution

Problem 2804

Condense each logarithm. 5) $4 \log _{b} x-2 \log _{b} 6-\frac{1}{2} \log _{b} y$

See Solution

Problem 2805

v) $12 a^{8} b^{8} \div\left(-6 a^{6} b^{4}\right)$

See Solution

Problem 2806

7. Simplify each expression. a) $2\left(\csc ^{2} x-\cot ^{2} x\right)$ b) $\cot ^{2} x\left(\sec ^{2} x-1\right)$ d) $\frac{\cos x}{\sin x \cot x}$

See Solution

Problem 2807

Simplify the fraction $\frac{6}{9}$ .

See Solution

Problem 2808

Simplify the fraction $\frac{2}{6}$ .

See Solution

Problem 2809

Solve for $y$ in the equation $2y = 42$ . What is the value of $y$ ?

See Solution

Problem 2810

Convert the division problem 1,042 ÷ 25 into a fraction.

See Solution

Problem 2811

What fraction of an acre is a land parcel measuring 50 yards by 30 yards? Simplify your answer.

See Solution

Problem 2812

Round 3.681076 to three significant figures.

See Solution

Problem 2813

Round 247081352.4 to 2 significant figures. What is the result?

See Solution

Problem 2814

Round 247081352.4 to 2 significant figures.

See Solution

Problem 2815

Rewrite 247081352.4 with 2 significant figures: 2.4, 250000000, 240000000, or 2.5?

See Solution

Problem 2816

Rewrite 22 with 1 significant figure.

See Solution

Problem 2817

Round 254.6381 to three significant figures.

See Solution

Problem 2818

Rewrite 56.0 with 2 significant figures.

See Solution

Problem 2819

Simplify the expression: $4\left(\frac{1}{2}\right)$

See Solution

Problem 2820

Multiply and simplify: $\frac{1}{7} \cdot \frac{1}{3}$ .

See Solution

Problem 2821

Find the limit: $\lim _{u \rightarrow-5} \frac{u+5}{u^{3}+125}$ . Simplify and evaluate the limit, or state DNE.

See Solution

Problem 2822

Factor the quadratic: $x^{2}-7x-18$

See Solution

Problem 2823

Find the limit: $\lim _{u \rightarrow-5} \frac{u+5}{u^{3}+125}$ and simplify the expression.

See Solution

Problem 2824

Find the limit: $\lim _{x \rightarrow 2} \frac{2-x}{\sqrt{x+2}-2}$ . Simplify and evaluate if possible.

See Solution

Problem 2825

Find the limit: $\lim _{x \rightarrow 2} \frac{2-x}{\sqrt{x+2}-2}$ and simplify the expression.

See Solution

Problem 2826

Find the limit: $\lim _{x \rightarrow 2} \frac{2-x}{\sqrt{x+2}-2}$ and simplify to $\lim _{x \rightarrow 2}(\sqrt{x+2}+2 x)$ .

See Solution

Problem 2827

Simplify the expression $(-7 / 8)(-3 / 4)$ . Choose from: $6 / 7$ , $21 / 32$ , $-21 / 32$ .

See Solution

Problem 2828

Calculate the value of $\sqrt[3]{6} \cdot 2 \sqrt[3]{10}$ .

See Solution

Problem 2829

Rewrite 76.00 with 1 significant figure.

See Solution

Problem 2830

Simplify the expression: $(-2 x^{2} y^{3})^{4}(3.5 x^{0} y)(-2 x^{8} y^{12})(3.5 y)$ .

See Solution

Problem 2831

Simplify the expression: $11 y+\frac{-2 y-8 y}{-5}$

See Solution

Problem 2832

Evaluate the expression $11y + \frac{-2y - 8y}{-5}$ at $y = -5$ and simplify.

See Solution

Problem 2833

Simplify the expression: $\frac{-3 x - x}{2} + 9 x$

See Solution

Problem 2834

Evaluate the expression $-2x - y - 5$ for $x = -2$ and $y = -3$ , then simplify the result.

See Solution

Problem 2835

Evaluate the expression $6 x^{2}+6 y^{2}-5$ at $x=3, y=-4$ and simplify.

See Solution

Problem 2836

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

See Solution

Problem 2837

Evaluate the expression $-6 x^{2}-5 y^{2}+5$ for $x=-2$ and $y=-7$ , then simplify.

See Solution

Problem 2838

Simplify the polynomial $-3x - 2x^2 + 5 + 3x^2$ .

See Solution

Problem 2839

Simplify the expression by combining like terms: $-3x + 6x^2 - 9 - x^2$ .

See Solution

Problem 2840

Evaluate $(x+y)^{2}-5z$ at $x=-2, y=2, z=4$ and simplify.

See Solution

Problem 2841

Evaluate $6y + \frac{-11y - 10y}{7}$ at $y=4$ and simplify.

See Solution

Problem 2842

Simplify the expression by combining like terms: $-2x + 3y^2 - 5 - 2y^2 + 3x + 3$ .

See Solution

Problem 2843

Evaluate the expression $-0.9 x^{2}+4.3 x^{2}+3 x+4.7 x^{2}$ at $x=2$ and simplify.

See Solution

Problem 2844

Calculate the value of $(2 \sqrt{3}-\sqrt{2})^{2}+(\sqrt{3}+\sqrt{2})^{2}$ .

See Solution

Problem 2845

Simplify the expression $4.3 \frac{\mathrm{g} \cdot \mathrm{mL} \cdot \mathrm{g}}{\mathrm{g} \cdot \mathrm{mL} \cdot \mathrm{s}}$ .

See Solution

Problem 2846

Simplify the unit: $9.2 \frac{\mathrm{g} \cdot \mathrm{cm}^{3}}{\mathrm{g} \cdot \mathrm{cm}^{2}}$ . What is the simplest form?

See Solution

Problem 2847

Simplify: $\sqrt{125}=$

See Solution

Problem 2848

Simplify: $\sqrt{32}=$

See Solution

Problem 2849

Simplify $\sqrt{405}$ into the format $a \sqrt{b}$ . What is $\sqrt{405}=$ ?

See Solution

Problem 2850

Simplify $\sqrt{12}$ to the form $a \sqrt{b}$ . What is the result?

See Solution

Problem 2851

Simplify $\sqrt{45}$ into the form $a \sqrt{b}$ . What is the result?

See Solution

Problem 2852

Simplify $\left(\frac{3 x^{3}}{x^{-2}}\right)^{4} \cdot\left(\frac{y^{2} x^{-4}}{5 x y^{-8}}\right)^{3}$ using positive exponents.

See Solution

Problem 2853

Calculate $-\sqrt{\frac{4}{64}}$ .

See Solution

Problem 2854

Find the value of $\sqrt{\frac{16}{49}}$ .

See Solution

Problem 2855

Calculate $-\sqrt{\frac{64}{121}}$ .

See Solution

Problem 2856

Find the value of $\sqrt{\frac{121}{169}}$ .

See Solution

Problem 2857

Calculate the value of $\sqrt{\frac{196}{4}}$ .

See Solution

Problem 2858

Calculate $-\sqrt{\frac{25}{256}}$ .

See Solution

Problem 2859

Calculate the value of $\sqrt{\frac{121}{144}}$ .

See Solution

Problem 2860

Calculate the expression $(-2) \times (-4) \times ((-5) - 1)$ .

See Solution

Problem 2861

Calculate $-125^{\frac{2}{3}}$ .

See Solution

Problem 2862

Calculate $36^{\frac{3}{2}}$ .

See Solution

Problem 2863

Calculate $16^{\frac{3}{2}}$ .

See Solution

Problem 2864

Calculate $64^{\frac{3}{2}}$ .

See Solution

Problem 2865

Calculate $25^{\frac{3}{2}}$ .

See Solution

Problem 2866

Find an equivalent expression for $\left(\left(\frac{3}{4}\right)^{4}\left(\frac{3}{4}\right)^{3}\right)^{2}$ .

See Solution

Problem 2867

Calculate $3 \cdot \frac{1}{2}$ .

See Solution

Problem 2868

Simplify $(3.2)(3.2^2)^4$ . Choices: $(3.2)^9$ , $(3.2)^8$ , $(3.2)^7$ , $(3.2)^6$ .

See Solution

Problem 2869

Choose the equivalent expression for $\frac{(-3)^{4}}{(-3)^{2}}$ : 1) $\frac{(-3)^{2}}{(-3)^{4}}$ 2) $\frac{(-3)^{6}}{(-3)^{4}}$ 3) $\frac{(-3)}{(-3)^{5}}$ 4) $\frac{(-3)^{5}}{(-3)}$

See Solution

Problem 2870

Find $g(x)$ for $f(x)=x^{3}$ , where $g(x)=2f(x)-1$ . What do you need help with?

See Solution

Problem 2871

Factor the expression: $x^{2}-2 x-80$ .

See Solution

Problem 2872

Factor the expression: $x^{2}+4x+3$ .

See Solution

Problem 2873

Factor the expression: $x^{2}+4 x+3$ .

See Solution

Problem 2874

Calculate $\frac{3.93 \times 10^{3}}{6.57 \times 10^{3}}$ .

See Solution

Problem 2875

Find the slope-intercept form of the line through points (-1,0) and (0,4).

See Solution

Problem 2876

Simplify the expression: $\frac{1}{2}(8 x+2)$ .

See Solution

Problem 2877

Determine the slope-intercept form of the line through points (-3,1) and (1,-3).

See Solution

Problem 2878

Rewrite $2x + 3y = 12$ in slope-intercept form.

See Solution

Problem 2879

Simplify the expression: $4 n - (7 - 6 n)$ .

See Solution

Problem 2880

Simplify the expression: $-3 - 7(-3 - 6v)$ .

See Solution

Problem 2881

Calculate $(0.5)^{3}$ .

See Solution

Problem 2882

Simplify the expression $6 x + (5 x - 8 y - 4)$ .

See Solution

Problem 2883

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

See Solution

Problem 2884

Calculate $\left(\frac{1}{4}\right)^{3}$ .

See Solution

Problem 2885

Factor the trinomial: $5x^{2} + 24x + 16$ .

See Solution

Problem 2886

Simplify the expression: $-8 x - 8(-4 y - 2 x)$ .

See Solution

Problem 2887

Find the equivalent expression for $-2 x^{2}+8 x-9+4 x+7 x^{2}+2$ . Options: A. $5 x^{2}+12 x-7$ , B. $-5 x^{2}+4 x+11$ , C. $-9 x^{2}-12 x+11$ , D. $-9 x^{2}+4 x-7$ .

See Solution

Problem 2888

Simplify $\sqrt[4]{16 x^{12}}$ for $x>0$ .

See Solution

Problem 2889

Simplify $\sqrt[4]{x^{24}}$ for $x>0$ .

See Solution

Problem 2890

Simplify $\sqrt[3]{x^{24}}$ for $x>0$ .

See Solution

Problem 2891

Simplify $\sqrt{64 x^{2}}$ for $x>0$ .

See Solution

Problem 2892

Simplify the following expressions with only positive exponents:
1) $2 m^{2} \cdot 2 m^{3}$ 2) $m^{4} \cdot 2 m^{-3}$ 3) $4 r^{-3} \cdot 2 r^{2}$ 4) $4 n^{4} \cdot 2 n^{-3}$ 5) $2 k^{4}, 4 k$ 6) $2 x^{3} y^{-3} \cdot 2 x^{-1} y^{3}$ 7) $2 y^{2}+3 x$ 8) $4 v^{3} \cdot v u^{2}$ 9) $4 a^{3} b^{2}+3 a^{-4} b^{-3}$ 10) $x^{2} y^{-4} \cdot x^{3} y^{2}$

See Solution

Problem 2893

Simplify $\sqrt{100 x^{18}}$ for $x>0$ .

See Solution

Problem 2894

Simplify $\sqrt[3]{27 x^{21}}$ for $x>0$ .

See Solution

Problem 2895

Simplify $6x^{2}\sqrt{80x}+x\sqrt{45x^{3}}$ .

See Solution

Problem 2896

Simplify the expression: $5 \sqrt{72 x^{7}} - x \sqrt{50 x^{5}}$ .

See Solution

Problem 2897

Simplify $-6 x \sqrt{150 x^{3}} + 6 \sqrt{24 x^{5}}$ to its simplest radical form.

See Solution

Problem 2898

Simplify the expression: $5 \sqrt{112 x^{3}} - 3 x \sqrt{63 x}$ .

See Solution

Problem 2899

Simplify the expression: $-\sqrt{5 x^{2}}-4 x \sqrt{5}$ .

See Solution

Problem 2900

Simplify $-x^{2} \sqrt{20}-x \sqrt{80 x^{2}}$ to its simplest radical form.

See Solution

1 ...26 27 28 29 30 31 32 ...56

Simplify

Problem 2801

f(x)=x3 and g(x)=x3+8f(x)=\sqrt[3]{x} \text { and } g(x)=x^{3}+8f(x)=3x​ and g(x)=x3+8Step 1 of 2: Find the formula for (fg)(x)\left(\frac{f}{g}\right)(x)(gf​)(x) and simplify your answer.

Problem 2802

Chasity is asked to solve the equation 81x(x+2)35x−7=9x−8\frac{81^{x(x+2)}}{3^{5 x-7}}=9^{x-8}35x−781x(x+2)​=9x−8. She is able to simplify the equation to the form 4x2+bx+c=04 x^{2}+b x+c=04x2+bx+c=0. the value of ccc is −15-15−15 1 23 9

Problem 2803

Problem 2804

Condense each logarithm. 5) 4log⁡bx−2log⁡b6−12log⁡by4 \log _{b} x-2 \log _{b} 6-\frac{1}{2} \log _{b} y4logb​x−2logb​6−21​logb​y

Problem 2805

v) 12a8b8÷(−6a6b4)12 a^{8} b^{8} \div\left(-6 a^{6} b^{4}\right)12a8b8÷(−6a6b4)

Problem 2806

7. Simplify each expression. a) 2(csc⁡2x−cot⁡2x)2\left(\csc ^{2} x-\cot ^{2} x\right)2(csc2x−cot2x) b) cot⁡2x(sec⁡2x−1)\cot ^{2} x\left(\sec ^{2} x-1\right)cot2x(sec2x−1) d) cos⁡xsin⁡xcot⁡x\frac{\cos x}{\sin x \cot x}sinxcotxcosx​

Problem 2807

Simplify the fraction 69\frac{6}{9}96​.

Problem 2808

Simplify the fraction 26\frac{2}{6}62​.

Problem 2809

Solve for yyy in the equation 2y=422y = 422y=42. What is the value of yyy?

Problem 2810

Convert the division problem 1,042 ÷ 25 into a fraction.

Problem 2811

What fraction of an acre is a land parcel measuring 50 yards by 30 yards? Simplify your answer.

Problem 2812

Round 3.681076 to three significant figures.

Problem 2813

Round 247081352.4 to 2 significant figures. What is the result?

Problem 2814

Round 247081352.4 to 2 significant figures.

Problem 2815

Rewrite 247081352.4 with 2 significant figures: 2.4, 250000000, 240000000, or 2.5?

Problem 2816

Rewrite 22 with 1 significant figure.

Problem 2817

Round 254.6381 to three significant figures.

Problem 2818

Rewrite 56.0 with 2 significant figures.

Problem 2819

Simplify the expression: 4(12)4\left(\frac{1}{2}\right)4(21​)

Problem 2820

Multiply and simplify: 17⋅13\frac{1}{7} \cdot \frac{1}{3}71​⋅31​.

Problem 2821

Find the limit: lim⁡u→−5u+5u3+125\lim _{u \rightarrow-5} \frac{u+5}{u^{3}+125}u→−5lim​u3+125u+5​. Simplify and evaluate the limit, or state DNE.

Problem 2822

Factor the quadratic: x2−7x−18x^{2}-7x-18x2−7x−18

Problem 2823

Find the limit: lim⁡u→−5u+5u3+125\lim _{u \rightarrow-5} \frac{u+5}{u^{3}+125}u→−5lim​u3+125u+5​ and simplify the expression.

Problem 2824

Find the limit: lim⁡x→22−xx+2−2\lim _{x \rightarrow 2} \frac{2-x}{\sqrt{x+2}-2}x→2lim​x+2​−22−x​. Simplify and evaluate if possible.

Problem 2825

Find the limit: lim⁡x→22−xx+2−2\lim _{x \rightarrow 2} \frac{2-x}{\sqrt{x+2}-2}x→2lim​x+2​−22−x​ and simplify the expression.

Problem 2826

Find the limit: lim⁡x→22−xx+2−2\lim _{x \rightarrow 2} \frac{2-x}{\sqrt{x+2}-2}x→2lim​x+2​−22−x​ and simplify to lim⁡x→2(x+2+2x)\lim _{x \rightarrow 2}(\sqrt{x+2}+2 x)x→2lim​(x+2​+2x).

Problem 2827

Simplify the expression (−7/8)(−3/4)(-7 / 8)(-3 / 4)(−7/8)(−3/4). Choose from: 6/76 / 76/7, 21/3221 / 3221/32, −21/32-21 / 32−21/32.

Problem 2828

Calculate the value of 63⋅2103\sqrt[3]{6} \cdot 2 \sqrt[3]{10}36​⋅2310​.

Problem 2829

Rewrite 76.00 with 1 significant figure.

Problem 2830

Simplify the expression: (−2x2y3)4(3.5x0y)(−2x8y12)(3.5y)(-2 x^{2} y^{3})^{4}(3.5 x^{0} y)(-2 x^{8} y^{12})(3.5 y)(−2x2y3)4(3.5x0y)(−2x8y12)(3.5y).

Problem 2831

Simplify the expression: 11y+−2y−8y−511 y+\frac{-2 y-8 y}{-5}11y+−5−2y−8y​

Problem 2832

Evaluate the expression 11y+−2y−8y−511y + \frac{-2y - 8y}{-5}11y+−5−2y−8y​ at y=−5y = -5y=−5 and simplify.

Problem 2833

Simplify the expression: −3x−x2+9x\frac{-3 x - x}{2} + 9 x2−3x−x​+9x

Problem 2834

Evaluate the expression −2x−y−5-2x - y - 5−2x−y−5 for x=−2x = -2x=−2 and y=−3y = -3y=−3, then simplify the result.

Problem 2835

Evaluate the expression 6x2+6y2−56 x^{2}+6 y^{2}-56x2+6y2−5 at x=3,y=−4x=3, y=-4x=3,y=−4 and simplify.

Problem 2836

Simplify the expression: 3(x2+4x+3)+5(x2+3x+2)3\left(x^{2}+4 x+3\right)+5\left(x^{2}+3 x+2\right)3(x2+4x+3)+5(x2+3x+2).

Problem 2837

Evaluate the expression −6x2−5y2+5-6 x^{2}-5 y^{2}+5−6x2−5y2+5 for x=−2x=-2x=−2 and y=−7y=-7y=−7, then simplify.

Problem 2838

Simplify the polynomial −3x−2x2+5+3x2-3x - 2x^2 + 5 + 3x^2−3x−2x2+5+3x2.

Problem 2839

Simplify the expression by combining like terms: −3x+6x2−9−x2-3x + 6x^2 - 9 - x^2−3x+6x2−9−x2.

Problem 2840

Evaluate (x+y)2−5z(x+y)^{2}-5z(x+y)2−5z at x=−2,y=2,z=4x=-2, y=2, z=4x=−2,y=2,z=4 and simplify.

$f(x)=\sqrt[3]{x} \text { and } g(x)=x^{3}+8$
Step 1 of 2: Find the formula for $\left(\frac{f}{g}\right)(x)$ and simplify your answer.

Chasity is asked to solve the equation $\frac{81^{x(x+2)}}{3^{5 x-7}}=9^{x-8}$ . She is able to simplify the equation to the form $4 x^{2}+b x+c=0$ . the value of $c$ is $-15$ 1 23 9

Condense each logarithm. 5) $4 \log _{b} x-2 \log _{b} 6-\frac{1}{2} \log _{b} y$

v) $12 a^{8} b^{8} \div\left(-6 a^{6} b^{4}\right)$

7. Simplify each expression. a) $2\left(\csc ^{2} x-\cot ^{2} x\right)$ b) $\cot ^{2} x\left(\sec ^{2} x-1\right)$ d) $\frac{\cos x}{\sin x \cot x}$

Simplify the fraction $\frac{6}{9}$ .

Simplify the fraction $\frac{2}{6}$ .

Solve for $y$ in the equation $2y = 42$ . What is the value of $y$ ?

Simplify the expression: $4\left(\frac{1}{2}\right)$

Multiply and simplify: $\frac{1}{7} \cdot \frac{1}{3}$ .

Find the limit: $\lim _{u \rightarrow-5} \frac{u+5}{u^{3}+125}$ . Simplify and evaluate the limit, or state DNE.

Factor the quadratic: $x^{2}-7x-18$

Find the limit: $\lim _{u \rightarrow-5} \frac{u+5}{u^{3}+125}$ and simplify the expression.

Find the limit: $\lim _{x \rightarrow 2} \frac{2-x}{\sqrt{x+2}-2}$ . Simplify and evaluate if possible.

Find the limit: $\lim _{x \rightarrow 2} \frac{2-x}{\sqrt{x+2}-2}$ and simplify the expression.

Find the limit: $\lim _{x \rightarrow 2} \frac{2-x}{\sqrt{x+2}-2}$ and simplify to $\lim _{x \rightarrow 2}(\sqrt{x+2}+2 x)$ .

Simplify the expression $(-7 / 8)(-3 / 4)$ . Choose from: $6 / 7$ , $21 / 32$ , $-21 / 32$ .

Calculate the value of $\sqrt[3]{6} \cdot 2 \sqrt[3]{10}$ .

Simplify the expression: $(-2 x^{2} y^{3})^{4}(3.5 x^{0} y)(-2 x^{8} y^{12})(3.5 y)$ .

Simplify the expression: $11 y+\frac{-2 y-8 y}{-5}$

Evaluate the expression $11y + \frac{-2y - 8y}{-5}$ at $y = -5$ and simplify.

Simplify the expression: $\frac{-3 x - x}{2} + 9 x$

Evaluate the expression $-2x - y - 5$ for $x = -2$ and $y = -3$ , then simplify the result.

Evaluate the expression $6 x^{2}+6 y^{2}-5$ at $x=3, y=-4$ and simplify.

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

Evaluate the expression $-6 x^{2}-5 y^{2}+5$ for $x=-2$ and $y=-7$ , then simplify.

Simplify the polynomial $-3x - 2x^2 + 5 + 3x^2$ .

Simplify the expression by combining like terms: $-3x + 6x^2 - 9 - x^2$ .

Evaluate $(x+y)^{2}-5z$ at $x=-2, y=2, z=4$ and simplify.

Evaluate $6y + \frac{-11y - 10y}{7}$ at $y=4$ and simplify.

Simplify the expression by combining like terms: $-2x + 3y^2 - 5 - 2y^2 + 3x + 3$ .

Evaluate the expression $-0.9 x^{2}+4.3 x^{2}+3 x+4.7 x^{2}$ at $x=2$ and simplify.

Calculate the value of $(2 \sqrt{3}-\sqrt{2})^{2}+(\sqrt{3}+\sqrt{2})^{2}$ .

Simplify the expression $4.3 \frac{\mathrm{g} \cdot \mathrm{mL} \cdot \mathrm{g}}{\mathrm{g} \cdot \mathrm{mL} \cdot \mathrm{s}}$ .

Simplify the unit: $9.2 \frac{\mathrm{g} \cdot \mathrm{cm}^{3}}{\mathrm{g} \cdot \mathrm{cm}^{2}}$ . What is the simplest form?

Simplify: $\sqrt{125}=$

Simplify: $\sqrt{32}=$

Simplify $\sqrt{405}$ into the format $a \sqrt{b}$ . What is $\sqrt{405}=$ ?

Simplify $\sqrt{12}$ to the form $a \sqrt{b}$ . What is the result?

Simplify $\sqrt{45}$ into the form $a \sqrt{b}$ . What is the result?

Simplify $\left(\frac{3 x^{3}}{x^{-2}}\right)^{4} \cdot\left(\frac{y^{2} x^{-4}}{5 x y^{-8}}\right)^{3}$ using positive exponents.

Calculate $-\sqrt{\frac{4}{64}}$ .

Find the value of $\sqrt{\frac{16}{49}}$ .

Calculate $-\sqrt{\frac{64}{121}}$ .

Find the value of $\sqrt{\frac{121}{169}}$ .

Calculate the value of $\sqrt{\frac{196}{4}}$ .

Calculate $-\sqrt{\frac{25}{256}}$ .

Calculate the value of $\sqrt{\frac{121}{144}}$ .

Calculate the expression $(-2) \times (-4) \times ((-5) - 1)$ .

Calculate $-125^{\frac{2}{3}}$ .

Calculate $36^{\frac{3}{2}}$ .

Calculate $16^{\frac{3}{2}}$ .

Calculate $64^{\frac{3}{2}}$ .

Calculate $25^{\frac{3}{2}}$ .

Find an equivalent expression for $\left(\left(\frac{3}{4}\right)^{4}\left(\frac{3}{4}\right)^{3}\right)^{2}$ .

Calculate $3 \cdot \frac{1}{2}$ .

Simplify $(3.2)(3.2^2)^4$ . Choices: $(3.2)^9$ , $(3.2)^8$ , $(3.2)^7$ , $(3.2)^6$ .

Find $g(x)$ for $f(x)=x^{3}$ , where $g(x)=2f(x)-1$ . What do you need help with?

Factor the expression: $x^{2}-2 x-80$ .

Factor the expression: $x^{2}+4x+3$ .

Factor the expression: $x^{2}+4 x+3$ .

Calculate $\frac{3.93 \times 10^{3}}{6.57 \times 10^{3}}$ .