simplify t^3e^{-3t}

Solution

simplify

t^{3} e^{- 3 t}

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

Solution steps

t^{3} e^{- 3 t}

Apply exponent rule:

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

= \frac{1}{e ^{3 t}} t^{3}

Multiply fractions:

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

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

Multiply:

1 \cdot t^{3} = t^{3}

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

\frac{3}{2} (1.38 \cdot 1 0^{- 23}) (300)

(x + 1)^{2} (x - 2)^{2} (x - 1) (x + 11)

\frac{1}{2 π \cdot 1} e^{- \frac{( 24 - 22.4 ) ^{2}}{2 \cdot 1}}

20 e^{- 0.5 (1)}