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Popular >

simplify at^2e^{-bt}

Solution

simplify

a t^{2} e^{- b t}

Solution

\frac{a t ^{2}}{e ^{b t}}

Solution steps

a t^{2} e^{- b t}

Apply exponent rule:

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

= \frac{1}{e ^{b t}} a t^{2}

Multiply fractions:

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

= \frac{1 \cdot a t ^{2}}{e ^{b t}}

Multiply:

1 \cdot a = a

= \frac{a t ^{2}}{e ^{b t}}

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Frequently Asked Questions (FAQ)

What is at^2e^{-bt} ?
The solution to at^2e^{-bt} is (at^2)/(e^{bt)}