Algebra Examples

${(\frac{1}{a^{5}})}^{- 4}$

Step 1

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

${(a^{5})}^{4}$

Step 2

Multiply the exponents in ${(a^{5})}^{4}$ .

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Step 2.1

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

$a^{5 \cdot 4}$

Step 2.2

Multiply $5$ by $4$ .

$a^{20}$