Simplify (1/(a^5))^-4

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

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

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

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

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

$a^{5 \cdot 4}$

Multiply $5$ by $4$ .

$a^{20}$