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Popular >

simplify (e^{-4})^5

Solution

simplify

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

Solution

\frac{1}{e ^{20}}

+1

Decimal Notation

2.06115 E - 9

Solution steps

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

Apply exponent rule:

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

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

(- 4) \cdot 5 = - 20

= e^{- 20}

Apply exponent rule:

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

= \frac{1}{e ^{20}}

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Frequently Asked Questions (FAQ)

What is (e^{-4})^5 ?
The solution to (e^{-4})^5 is 1/(e^{20)}