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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}} t u

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)}