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Popular >

simplify-e^{-at}*u(-t)

Solution

simplify

- e^{- a t} \cdot u (- t)

Solution

\frac{t u}{e ^{a t}}

Solution steps

- e^{- a t} u (- t)

Apply exponent rule:

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

= - \frac{1}{e ^{a t}} u (- t)

Apply rule

- (- a) = a

= \frac{1}{e ^{a t}} u t

Multiply fractions:

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

= \frac{1 \cdot u t}{e ^{a t}}

Multiply:

1 \cdot u = u

= \frac{t u}{e ^{a t}}

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Frequently Asked Questions (FAQ)

What is simplify-e^{-at}*u(-t) ?
The solution to simplify-e^{-at}*u(-t) is (tu)/(e^{at)}