Evaluate (2^2)/(2^-7)*2

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

Step 1

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

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

Step 2

Simplify the denominator.

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

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

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 $4 \cdot 128 \cdot 2$ .

Multiply $4$ by $128$ .

$512 \cdot 2$

Multiply $512$ by $2$ .

$1024$