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Popular >

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

Solution

simplify

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

Solution

1

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Cancel the common factor:

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

= 1

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Frequently Asked Questions (FAQ)

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