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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}