simplify t*e^{-4t}

Solution

simplify

t \cdot e^{- 4 t}

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

Solution steps

t e^{- 4 t}

Apply exponent rule:

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

= \frac{1}{e ^{4 t}} t

Multiply fractions:

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

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

Multiply:

1 \cdot t = t

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

\frac{56}{81} (0.8)^{- \frac{10}{3}} (\frac{1}{4 !}) (1.2 - 1)^{4}

100 e^{- 0.2 (5)}

\frac{e ^{- x}}{e ^{- 4 x}}

\frac{12}{300} \cdot e^{- \frac{10}{300 ( 16 )}}

x e^{- a ∣ x ∣}