Evaluate z^-11*z^-15

$z^{- 11} \cdot z^{- 15}$

Step 1

Multiply $z^{- 11}$ by $z^{- 15}$ by adding the exponents.

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

$z^{- 11 - 15}$

Subtract $15$ from $- 11$ .

$z^{- 26}$

Step 2

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{z^{26}}$