Simplify z^(-2/5)*z^(3/5)

$z^{- \frac{2}{5}} \cdot z^{\frac{3}{5}}$

Step 1

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$z^{- \frac{2}{5} + \frac{3}{5}}$

Step 2

Combine the numerators over the common denominator.

$z^{\frac{- 2 + 3}{5}}$

Step 3

Add $- 2$ and $3$ .

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