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Popular >

simplify z^{-11}z^{-15}

Solution

simplify

z^{- 11} z^{- 15}

Solution

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

Solution steps

z^{- 11} z^{- 15}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

z^{- 11} z^{- 15} = z^{- 11 - 15}

= z^{- 11 - 15}

Subtract the numbers:

- 11 - 15 = - 26

= z^{- 26}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

z^{- 26} = \frac{1}{z ^{26}}

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

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Frequently Asked Questions (FAQ)

What is z^{-11}z^{-15} ?
The solution to z^{-11}z^{-15} is 1/(z^{26)}