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Popular >

simplify e^{-x}\times e^x

Solution

simplify

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

Solution

1

Solution steps

e^{- x} e^{x}

Apply exponent rule:

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

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

= e^{- x + x}

Add similar elements:

- x + x = 0

= e^{0}

Apply rule

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

= 1

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Frequently Asked Questions (FAQ)

What is e^{-x}\times e^x ?
The solution to e^{-x}\times e^x is 1