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Popular >

simplify sqrt(1+e)^{-1}

Solution

simplify

1 + e^{- 1}

Solution

\frac{1}{e + 1}

+1

Decimal Notation

0.51859 \dots

Solution steps

(1 + e)^{- 1}

Apply radical rule:

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

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

Apply exponent rule:

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

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

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

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

Apply exponent rule:

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

= \frac{1}{1 + e}

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Frequently Asked Questions (FAQ)

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