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Popular >

simplify e^a*e^{-a}

Solution

simplify

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

Solution

1

Solution steps

e^{a} e^{- a}

Apply exponent rule:

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

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

= e^{a - a}

Add similar elements:

a - a = 0

= e^{0}

Apply rule

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

= 1

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Frequently Asked Questions (FAQ)

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