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Popular >

simplify 1/(e^{-x)}

Solution

simplify

\frac{1}{e ^{- x}}

Solution

e^{x}

Solution steps

\frac{1}{e ^{- x}}

Apply exponent rule:

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

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

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

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

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

Apply the fraction rule:

\frac{a}{1} = a

= e^{x}

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Frequently Asked Questions (FAQ)

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