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Popular >

simplify 4t^3e^{-2t}

Solution

simplify

4 t^{3} e^{- 2 t}

Solution

\frac{4 t ^{3}}{e ^{2 t}}

Solution steps

4 t^{3} e^{- 2 t}

Apply exponent rule:

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

= 4 \cdot \frac{1}{e ^{2 t}} t^{3}

Multiply fractions:

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

= \frac{1 \cdot 4 t ^{3}}{e ^{2 t}}

Multiply the numbers:

1 \cdot 4 = 4

= \frac{4 t ^{3}}{e ^{2 t}}

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Frequently Asked Questions (FAQ)

What is 4t^3e^{-2t} ?
The solution to 4t^3e^{-2t} is (4t^3)/(e^{2t)}