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Popular >

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

Solution

simplify

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

Solution

t

Solution steps

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