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Popular >

simplify 2te^t*e^{-t}

Solution

simplify

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

Solution

2 t

Solution steps

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

Apply exponent rule:

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

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

= 2 t e^{t - t}

Add similar elements:

t - t = 0

= 2 t e^{0}

Apply rule

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

e^{0} = 1

= 2 \cdot 1 \cdot t

Multiply the numbers:

2 \cdot 1 = 2

= 2 t

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Frequently Asked Questions (FAQ)

What is 2te^t*e^{-t} ?
The solution to 2te^t*e^{-t} is 2t