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Popular >

simplify (t^2e^{2t})e^{-2t}

Solution

simplify

(t^{2} e^{2 t}) e^{- 2 t}

Solution

t^{2}

Solution steps

(t^{2} e^{2 t}) e^{- 2 t}

Apply exponent rule:

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

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

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

Add similar elements:

2 t - 2 t = 0

= t^{2} e^{0}

Apply rule

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

e^{0} = 1

= 1 \cdot t^{2}

Multiply:

t^{2} \cdot 1 = t^{2}

= t^{2}

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Frequently Asked Questions (FAQ)

What is (t^2e^{2t})e^{-2t} ?
The solution to (t^2e^{2t})e^{-2t} is t^2