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Popular >

simplify \sqrt[3]{e^{-2}}

Solution

simplify

Solution

\frac{1}{e ^{\frac{2}{3}}}

+1

Decimal Notation

0.51341 \dots

Solution steps

Apply radical rule:

= (e^{- 2})^{\frac{1}{3}}

Apply exponent rule:

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

= e^{(- 2) \frac{1}{3}}

(- 2) \frac{1}{3} = - \frac{2}{3}

= e^{- \frac{2}{3}}

Apply exponent rule:

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

= \frac{1}{e ^{\frac{2}{3}}}

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Frequently Asked Questions (FAQ)

What is \sqrt[3]{e^{-2}} ?
The solution to \sqrt[3]{e^{-2}} is 1/(e^{2/3)}