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Popular >

simplify e^{-2t}u(t/2)

Solution

simplify

e^{- 2 t} u (\frac{t}{2})

Solution

\frac{t u}{2 e ^{2 t}}

Solution steps

e^{- 2 t} u (\frac{t}{2})

Apply exponent rule:

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

= \frac{1}{e ^{2 t}} \cdot \frac{t}{2} u

Multiply fractions:

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

= \frac{1 \cdot t u}{e ^{2 t} \cdot 2}

Multiply:

1 \cdot t = t

= \frac{t u}{2 e ^{2 t}}

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Frequently Asked Questions (FAQ)

What is e^{-2t}u(t/2) ?
The solution to e^{-2t}u(t/2) is (tu)/(2e^{2t)}