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Popular >

simplify (e^x)*(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)*(e^{-x}) ?
The solution to (e^x)*(e^{-x}) is 1