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Popular >

simplify (e^{-2x})(e^{3x})

Solution

simplify

(e^{- 2 x}) (e^{3 x})

Solution

e^{x}

Solution steps

(e^{- 2 x}) (e^{3 x})

Apply exponent rule:

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

e^{- 2 x} e^{3 x} = e^{- 2 x + 3 x}

= e^{- 2 x + 3 x}

Add similar elements:

- 2 x + 3 x = x

= e^{x}

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Frequently Asked Questions (FAQ)

What is (e^{-2x})(e^{3x}) ?
The solution to (e^{-2x})(e^{3x}) is e^x