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Popular >

simplify (e^{-9})^{8/9}

Solution

simplify

(e^{- 9})^{\frac{8}{9}}

Solution

\frac{1}{e ^{8}}

+1

Solution steps

(e^{- 9})^{\frac{8}{9}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= e^{(- 9) \frac{8}{9}}

(- 9) \frac{8}{9} = - 8

= e^{- 8}

Apply exponent rule:

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

= \frac{1}{e ^{8}}

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Frequently Asked Questions (FAQ)

What is (e^{-9})^{8/9} ?
The solution to (e^{-9})^{8/9} is 1/(e^8)