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Popular >

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

Solution

simplify

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

Solution

\frac{1}{y}

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Cancel the common factor:

e^{2 y}

= \frac{1}{y}

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Frequently Asked Questions (FAQ)

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