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Popular >

simplify e^{8x}*(e^{-4x})

Solution

simplify

e^{8 x} \cdot (e^{- 4 x})

Solution

e^{4 x}

Solution steps

e^{8 x} (e^{- 4 x})

Apply exponent rule:

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

e^{8 x} e^{- 4 x} = e^{8 x - 4 x}

= e^{8 x - 4 x}

Add similar elements:

8 x - 4 x = 4 x

= e^{4 x}

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Frequently Asked Questions (FAQ)

What is e^{8x}*(e^{-4x}) ?
The solution to e^{8x}*(e^{-4x}) is e^{4x}