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Popular >

simplify e^{-(1/2+1/2)}

Solution

simplify

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

Solution

\frac{1}{e}

+1

Decimal Notation

0.36787 \dots

Solution steps

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

Apply exponent rule:

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

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

Combine the fractions

\frac{1}{2} + \frac{1}{2} : 1

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

Remove parentheses:

(a) = a

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

Apply rule

a^{1} = a

= \frac{1}{e}

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Frequently Asked Questions (FAQ)

What is e^{-(1/2+1/2)} ?
The solution to e^{-(1/2+1/2)} is 1/e