Evaluate (1/(3h^5))^-4

${(\frac{1}{3 h^{5}})}^{- 4}$

Step 1

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

${(3 h^{5})}^{4}$

Step 2

Apply the product rule to $3 h^{5}$ .

$3^{4} {(h^{5})}^{4}$

Step 3

Raise $3$ to the power of $4$ .

$81 {(h^{5})}^{4}$

Step 4

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

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

$81 h^{5 \cdot 4}$

Multiply $5$ by $4$ .

$81 h^{20}$