Math / Numbers & Operations

Question $4\left(\frac{2}{8}\right)^{2}$

Studdy Solution

STEP 1

1. The expression to simplify is $4\left(\frac{2}{8}\right)^{2}$ .
2. The operations involved are exponentiation and multiplication.
3. Simplification follows the order of operations (PEMDAS/BODMAS).

STEP 2

1. Simplify the fraction inside the parentheses.
2. Apply the exponentiation.
3. Multiply the result by 4.

STEP 3

Simplify the fraction $\frac{2}{8}$ .
$\frac{2}{8} = \frac{1}{4}$

STEP 4

Apply the exponentiation to $\left(\frac{1}{4}\right)^{2}$ .
$\left(\frac{1}{4}\right)^{2} = \frac{1}{4} \times \frac{1}{4} = \frac{1}{16}$

STEP 5

Multiply the result by 4.
$4 \times \frac{1}{16} = \frac{4}{16} = \frac{1}{4}$
The simplified expression is:
$\boxed{\frac{1}{4}}$

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Question $4\left(\frac{2}{8}\right)^{2}$

Studdy Solution

STEP 1

1. The expression to simplify is $4\left(\frac{2}{8}\right)^{2}$ .
2. The operations involved are exponentiation and multiplication.
3. Simplification follows the order of operations (PEMDAS/BODMAS).

STEP 2

1. Simplify the fraction inside the parentheses.
2. Apply the exponentiation.
3. Multiply the result by 4.

STEP 3

Simplify the fraction $\frac{2}{8}$ .
$\frac{2}{8} = \frac{1}{4}$

STEP 4

Apply the exponentiation to $\left(\frac{1}{4}\right)^{2}$ .
$\left(\frac{1}{4}\right)^{2} = \frac{1}{4} \times \frac{1}{4} = \frac{1}{16}$

STEP 5

Multiply the result by 4.
$4 \times \frac{1}{16} = \frac{4}{16} = \frac{1}{4}$
The simplified expression is:
$\boxed{\frac{1}{4}}$

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Question4(28)24\left(\frac{2}{8}\right)^{2}4(82​)2

Studdy Solution

STEP 1

1. The expression to simplify is 4(28)2 4\left(\frac{2}{8}\right)^{2} 4(82​)2.2. The operations involved are exponentiation and multiplication.3. Simplification follows the order of operations (PEMDAS/BODMAS).

STEP 2

1. Simplify the fraction inside the parentheses.2. Apply the exponentiation.3. Multiply the result by 4.

STEP 3

Simplify the fraction 28\frac{2}{8}82​.28=14 \frac{2}{8} = \frac{1}{4} 82​=41​

STEP 4

Apply the exponentiation to (14)2\left(\frac{1}{4}\right)^{2}(41​)2.(14)2=14×14=116 \left(\frac{1}{4}\right)^{2} = \frac{1}{4} \times \frac{1}{4} = \frac{1}{16} (41​)2=41​×41​=161​

STEP 5

Multiply the result by 4.4×116=416=14 4 \times \frac{1}{16} = \frac{4}{16} = \frac{1}{4} 4×161​=164​=41​ The simplified expression is:14\boxed{\frac{1}{4}}41​​

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Question $4\left(\frac{2}{8}\right)^{2}$

1. The expression to simplify is $4\left(\frac{2}{8}\right)^{2}$ .
2. The operations involved are exponentiation and multiplication.
3. Simplification follows the order of operations (PEMDAS/BODMAS).

1. Simplify the fraction inside the parentheses.
2. Apply the exponentiation.
3. Multiply the result by 4.

Simplify the fraction $\frac{2}{8}$ .
$\frac{2}{8} = \frac{1}{4}$

Apply the exponentiation to $\left(\frac{1}{4}\right)^{2}$ .
$\left(\frac{1}{4}\right)^{2} = \frac{1}{4} \times \frac{1}{4} = \frac{1}{16}$

Multiply the result by 4.
$4 \times \frac{1}{16} = \frac{4}{16} = \frac{1}{4}$
The simplified expression is:
$\boxed{\frac{1}{4}}$