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Popular >

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

Solution

simplify

e^{- a t} 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)

Remove parentheses:

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