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Popular >

simplify (0.5t^2+t)e^{-2t}

Solution

simplify

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

Solution

\frac{0.5 t ^{2} + t}{e ^{2 t}}

Solution steps

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

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{e ^{2 t}} (0.5 t^{2} + t)

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot ( 0.5 t ^{2} + t )}{e ^{2 t}}

1 \cdot (0.5 t^{2} + t) = 0.5 t^{2} + t

= \frac{0.5 t ^{2} + t}{e ^{2 t}}

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Frequently Asked Questions (FAQ)

What is (0.5t^2+t)e^{-2t} ?
The solution to (0.5t^2+t)e^{-2t} is (0.5t^2+t)/(e^{2t)}