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Popular >

simplify e^{ax}*e^{-ax}

Solution

simplify

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

Solution

1

Solution steps

e^{a x} e^{- a x}

Apply exponent rule:

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

e^{a x} e^{- a x} = e^{a x - a x}

= e^{a x - a x}

Add similar elements:

a x - a x = 0

= e^{0}

Apply rule

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

= 1

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Frequently Asked Questions (FAQ)

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