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Popular >

simplify e^{-10x}(e^{5x})

Solution

simplify

e^{- 10 x} (e^{5 x})

Solution

e^{- 5 x}

Solution steps

e^{- 10 x} (e^{5 x})

Apply exponent rule:

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

e^{- 10 x} e^{5 x} = e^{- 10 x + 5 x}

= e^{- 10 x + 5 x}

Add similar elements:

- 10 x + 5 x = - 5 x

= e^{- 5 x}

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Frequently Asked Questions (FAQ)

What is e^{-10x}(e^{5x}) ?
The solution to e^{-10x}(e^{5x}) is e^{-5x}