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Popular >

simplify e^{2x}*e^{-5x}

Solution

simplify

e^{2 x} \cdot e^{- 5 x}

Solution

e^{- 3 x}

Solution steps

e^{2 x} e^{- 5 x}

Apply exponent rule:

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

e^{2 x} e^{- 5 x} = e^{2 x - 5 x}

= e^{2 x - 5 x}

Add similar elements:

2 x - 5 x = - 3 x

= e^{- 3 x}

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Frequently Asked Questions (FAQ)

What is e^{2x}*e^{-5x} ?
The solution to e^{2x}*e^{-5x} is e^{-3x}