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Popular >

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

Solution

simplify

\frac{e ^{2 x}}{x} \cdot e^{- 2 x}

Solution

\frac{1}{x}

Solution steps

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

Apply exponent rule:

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

= \frac{e ^{2 x}}{x} \cdot \frac{1}{e ^{2 x}}

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{e ^{2 x} \cdot 1}{x e ^{2 x}}

Cancel the common factor:

e^{2 x}

= \frac{1}{x}

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(5 \cdot 1 0^{- 2}) (\frac{13.6 \cdot 1 0 ^{3}}{1000})

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Frequently Asked Questions (FAQ)

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