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Popular >

simplify at^be^{-t/c}

Solution

simplify

a t^{b} e^{- \frac{t}{c}}

Solution

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

Solution steps

a t^{b} e^{- \frac{t}{c}}

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

1 \cdot a = a

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

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Frequently Asked Questions (FAQ)

What is at^be^{-t/c} ?
The solution to at^be^{-t/c} is (at^b)/(e^{t/c)}