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Popular >

simplify sqrt(e^{-1)}

Solution

simplify

e^{- 1}

Solution

\frac{1}{e}

+1

Decimal Notation

0.60653 \dots

Solution steps

e^{- 1}

Apply radical rule:

a = a^{\frac{1}{2}}

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

Apply exponent rule:

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

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

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

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

Apply exponent rule:

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

= \frac{1}{e}

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Frequently Asked Questions (FAQ)

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