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Popular >

simplify 3e^{-2t}u(-t)

Solution

simplify

3 e^{- 2 t} u (- t)

Solution

- \frac{3 t u}{e ^{2 t}}

Solution steps

3 e^{- 2 t} u (- t)

Apply exponent rule:

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

= 3 \cdot \frac{1}{e ^{2 t}} u (- t)

Remove parentheses:

(- a) = - a

= - 3 \cdot \frac{1}{e ^{2 t}} u t

Multiply fractions:

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

= - \frac{1 \cdot 3 u t}{e ^{2 t}}

Multiply the numbers:

1 \cdot 3 = 3

= - \frac{3 t u}{e ^{2 t}}

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Frequently Asked Questions (FAQ)

What is 3e^{-2t}u(-t) ?
The solution to 3e^{-2t}u(-t) is -(3tu)/(e^{2t)}