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Popular >

simplify e^t*te^{-t}

Solution

simplify

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

Solution

t

Solution steps

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

Apply exponent rule:

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

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

= t e^{t - t}

Add similar elements:

t - t = 0

= t e^{0}

Apply rule

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

e^{0} = 1

= 1 \cdot t

Multiply:

t \cdot 1 = t

= t

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Frequently Asked Questions (FAQ)

What is e^t*te^{-t} ?
The solution to e^t*te^{-t} is t