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Popular >

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

Solution

simplify

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

Solution

\frac{1}{x}

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Cancel the common factor:

e^{2 x}

= \frac{1}{x}

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Frequently Asked Questions (FAQ)

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