Simplify (1/(z^(3/5)))^(-1/5)

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

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

${(z^{\frac{3}{5}})}^{\frac{1}{5}}$

Multiply the exponents in ${(z^{\frac{3}{5}})}^{\frac{1}{5}}$ .

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

$z^{\frac{3}{5} \cdot \frac{1}{5}}$

Multiply $\frac{3}{5} \cdot \frac{1}{5}$ .

Multiply $\frac{3}{5}$ by $\frac{1}{5}$ .

$z^{\frac{3}{5 \cdot 5}}$

Multiply $5$ by $5$ .

$z^{\frac{3}{25}}$