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Popular >

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

Solution

simplify

(e^{x}) (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}

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Frequently Asked Questions (FAQ)

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