simplify e^{-3t}t^3

Solution

simplify

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

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

Solution steps

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

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}}

(1.72 \cdot 1 0^{- 8}) (\frac{100}{\frac{2.5}{1000}})

e^{- 3 t} t^{2}

293 (1 + \frac{0.4}{2} (0.654)^{2})^{- 1}

e^{x^{2}} e^{- 2 x^{2}}

(1 - 4 x)^{2} (1 - x)^{2}