Simplify z^(-2/7)*z^(3/7)

$z^{- \frac{2}{7}} \cdot z^{\frac{3}{7}}$

Step 1

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

$z^{- \frac{2}{7} + \frac{3}{7}}$

Step 2

Combine the numerators over the common denominator.

$z^{\frac{- 2 + 3}{7}}$

Step 3

Add $- 2$ and $3$ .

$z^{\frac{1}{7}}$