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Popular >

simplify t^3e^{-5t}

Solution

simplify

t^{3} e^{- 5 t}

Solution

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

Solution steps

t^{3} e^{- 5 t}

Apply exponent rule:

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

= \frac{1}{e ^{5 t}} t^{3}

Multiply fractions:

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

= \frac{1 \cdot t ^{3}}{e ^{5 t}}

Multiply:

1 \cdot t^{3} = t^{3}

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

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Frequently Asked Questions (FAQ)

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