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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

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

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

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Frequently Asked Questions (FAQ)

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