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Popular >

simplify e^{kt}*e^{-kt}

Solution

simplify

e^{k t} \cdot e^{- k t}

Solution

1

Solution steps

e^{k t} e^{- k t}

Apply exponent rule:

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

e^{k t} e^{- k t} = e^{k t - k t}

= e^{k t - k t}

Add similar elements:

k t - k t = 0

= e^{0}

Apply rule

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

= 1

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Frequently Asked Questions (FAQ)

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