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Popular >

simplify (e^{-5})^{4/5}

Solution

simplify

(e^{- 5})^{\frac{4}{5}}

Solution

\frac{1}{e ^{4}}

+1

Decimal Notation

0.01831 \dots

Solution steps

(e^{- 5})^{\frac{4}{5}}

Apply exponent rule:

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

= e^{(- 5) \frac{4}{5}}

(- 5) \frac{4}{5} = - 4

= e^{- 4}

Apply exponent rule:

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

= \frac{1}{e ^{4}}

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Frequently Asked Questions (FAQ)

What is (e^{-5})^{4/5} ?
The solution to (e^{-5})^{4/5} is 1/(e^4)