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Popular >

simplify e^{4x}*e^{-4x}

Solution

simplify

e^{4 x} \cdot e^{- 4 x}

Solution

1

Solution steps

e^{4 x} e^{- 4 x}

Apply exponent rule:

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

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

= e^{4 x - 4 x}

Add similar elements:

4 x - 4 x = 0

= e^{0}

Apply rule

a^{0} = 1, a \neq = 0

= 1

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Frequently Asked Questions (FAQ)

What is e^{4x}*e^{-4x} ?
The solution to e^{4x}*e^{-4x} is 1