What is simplify-3e^{-4t}u(-t) ?

The solution to simplify-3e^{-4t}u(-t) is (3tu)/(e^{4t)}

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simplify-3e^{-4t}u(-t)

simplify

- 3 e^{- 4 t} u (- t)

\frac{3 t u}{e ^{4 t}}

Solution steps

- 3 e^{- 4 t} u (- t)

Apply exponent rule:

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

= - 3 \cdot \frac{1}{e ^{4 t}} u (- t)

Apply rule

- (- a) = a

= 3 \cdot \frac{1}{e ^{4 t}} u t

Multiply fractions:

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

= \frac{1 \cdot 3 u t}{e ^{4 t}}

Multiply the numbers:

1 \cdot 3 = 3

= \frac{3 t u}{e ^{4 t}}

e^{- x} \cdot (- 3) e^{- 3 x}

e^{- 3 x} \frac{d y}{d x}

e^{- j wt}

10 e^{- 1} f^{3}

e^{- l n (t + 1)}

What is simplify-3e^{-4t}u(-t) ?
The solution to simplify-3e^{-4t}u(-t) is (3tu)/(e^{4t)}