Algebra Examples

$\frac{2^{2}}{2^{- 7}} \cdot 2$

Step 1

Raise $2$ to the power of $2$ .

$\frac{4}{2^{- 7}} \cdot 2$

Step 2

Simplify the denominator.

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Step 2.1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{4}{\frac{1}{2^{7}}} \cdot 2$

Step 2.2

Raise $2$ to the power of $7$ .

$\frac{4}{\frac{1}{128}} \cdot 2$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$4 \cdot 128 \cdot 2$

Step 4

Multiply $4 \cdot 128 \cdot 2$ .

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Step 4.1

Multiply $4$ by $128$ .

$512 \cdot 2$

Step 4.2

Multiply $512$ by $2$ .

$1024$