simplify 2t^2e^{-t}

Solution

simplify

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

\frac{2 t ^{2}}{e ^{t}}

Solution steps

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

Apply exponent rule:

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

= 2 \cdot \frac{1}{e ^{t}} t^{2}

Multiply fractions:

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

= \frac{1 \cdot 2 t ^{2}}{e ^{t}}

Multiply the numbers:

1 \cdot 2 = 2

= \frac{2 t ^{2}}{e ^{t}}

5 e^{t} \cdot e^{- t}

e^{- j w} \cdot e^{- j w}

x^{2} e^{- 5 x}

x \times 5

\frac{e ^{4 x}}{e ^{4 x^{2}}}