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Popular >

simplify (t^3+2)e^{-5t}

Solution

simplify

(t^{3} + 2) e^{- 5 t}

Solution

\frac{t ^{3} + 2}{e ^{5 t}}

Solution steps

(t^{3} + 2) e^{- 5 t}

Apply exponent rule:

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

= \frac{1}{e ^{5 t}} (t^{3} + 2)

Multiply fractions:

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

= \frac{1 \cdot ( t ^{3} + 2 )}{e ^{5 t}}

1 \cdot (t^{3} + 2) = t^{3} + 2

= \frac{t ^{3} + 2}{e ^{5 t}}

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Frequently Asked Questions (FAQ)

What is (t^3+2)e^{-5t} ?
The solution to (t^3+2)e^{-5t} is (t^3+2)/(e^{5t)}