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Popular >

simplify e^x\times e^{-2x}

Solution

simplify

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

Solution

e^{- x}

Solution steps

e^{x} e^{- 2 x}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{x} e^{- 2 x} = e^{x - 2 x}

= e^{x - 2 x}

Add similar elements:

x - 2 x = - x

= e^{- x}

Popular Examples

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

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e^{- 1 0^{2}}

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1.5 x 1 0^{- 5}

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simplify sqrt(x^2+y^2)^2 simplify

x^{2} + y^{2}^{2}

Frequently Asked Questions (FAQ)

What is e^x\times e^{-2x} ?
The solution to e^x\times e^{-2x} is e^{-x}