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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

1 \cdot u = u

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

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(72) 2

Frequently Asked Questions (FAQ)

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