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Popular >

simplify (e^{-2x})^{2/x}

Solution

simplify

(e^{- 2 x})^{\frac{2}{x}}

Solution

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

+1

Decimal Notation

0.01831 \dots

Solution steps

(e^{- 2 x})^{\frac{2}{x}}

Apply exponent rule:

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

= e^{(- 2 x) \frac{2}{x}}

(- 2 x) \frac{2}{x} = - 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^{-2x})^{2/x} ?
The solution to (e^{-2x})^{2/x} is 1/(e^4)