What is (t^3-3t+2)e^{(-2t)} ?

The solution to (t^3-3t+2)e^{(-2t)} is (t^3-3t+2)/(e^{2t)}

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simplify (t^3-3t+2)e^{(-2t)}

simplify

(t^{3} - 3 t + 2) e^{(- 2 t)}

\frac{t ^{3} - 3 t + 2}{e ^{2 t}}

Solution steps

(t^{3} - 3 t + 2) e^{(- 2 t)}

Apply exponent rule:

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

= \frac{1}{e ^{2 t}} (t^{3} - 3 t + 2)

Multiply fractions:

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

= \frac{1 \cdot ( t ^{3} - 3 t + 2 )}{e ^{2 t}}

1 \cdot (t^{3} - 3 t + 2) = t^{3} - 3 t + 2

= \frac{t ^{3} - 3 t + 2}{e ^{2 t}}

6000 (1 + 0.03)^{(- 8)}

6.02 \cdot 1 0^{- 23}

e^{8} \cdot e^{- 6}

\frac{( 1 + 0.0123 ) ^{3}}{( 1 + 0.0085 ) ^{3}}

What is (t^3-3t+2)e^{(-2t)} ?
The solution to (t^3-3t+2)e^{(-2t)} is (t^3-3t+2)/(e^{2t)}