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Popular >

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

Solution

simplify

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

Solution

\frac{1}{e}

+1

Decimal Notation

0.36787 \dots

Solution steps

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

Apply exponent rule:

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

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

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

= \frac{1}{e}

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Frequently Asked Questions (FAQ)

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