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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 3 = 3

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

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Frequently Asked Questions (FAQ)

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