Algebra Examples

${({(\frac{1}{2})}^{- 4})}^{2}$

Step 1

Multiply the exponents in ${({(\frac{1}{2})}^{- 4})}^{2}$ .

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Step 1.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

${(\frac{1}{2})}^{- 4 \cdot 2}$

Step 1.2

Multiply $- 4$ by $2$ .

${(\frac{1}{2})}^{- 8}$

Step 2

Change the sign of the exponent by rewriting the base as its reciprocal.

$2^{8}$

Step 3

Raise $2$ to the power of $8$ .

$256$