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Popular >

simplify (-2+3t)e^{-0.5t}

Solution

simplify

(- 2 + 3 t) e^{- 0.5 t}

Solution

\frac{3 t - 2}{e ^{0.5 t}}

Solution steps

(- 2 + 3 t) e^{- 0.5 t}

Apply exponent rule:

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

= \frac{1}{e ^{0.5 t}} (3 t - 2)

Multiply fractions:

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

= \frac{1 \cdot ( - 2 + 3 t )}{e ^{0.5 t}}

1 \cdot (- 2 + 3 t) = - 2 + 3 t

= \frac{- 2 + 3 t}{e ^{0.5 t}}

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Frequently Asked Questions (FAQ)

What is (-2+3t)e^{-0.5t} ?
The solution to (-2+3t)e^{-0.5t} is (3t-2)/(e^{0.5t)}