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Popular >

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

Solution

simplify

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

Solution

t

Solution steps

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

Add similar elements:

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