What is e^{-10t}u_{3}(t)(t-3)^3 ?

The solution to e^{-10t}u_{3}(t)(t-3)^3 is (tu_{3}(t-3)^3)/(e^{10t)}

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simplify e^{-10t}u_{3}(t)(t-3)^3

simplify

e^{- 10 t} u_{3} (t) (t - 3)^{3}

\frac{t u _{3} ( t - 3 ) ^{3}}{e ^{10 t}}

Solution steps

e^{- 10 t} u_{3} (t) (t - 3)^{3}

Apply exponent rule:

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

= \frac{1}{e ^{10 t}} t u_{3} (t - 3)^{3}

Multiply fractions:

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

= \frac{1 \cdot u _{3} t ( t - 3 ) ^{3}}{e ^{10 t}}

Multiply:

1 \cdot u_{3} = u_{3}

= \frac{t u _{3} ( t - 3 ) ^{3}}{e ^{10 t}}

(e)^{- 2} ln (e)

x^{4} e^{- 3 x^{2}}

\frac{- 70}{- 7}

What is e^{-10t}u_{3}(t)(t-3)^3 ?
The solution to e^{-10t}u_{3}(t)(t-3)^3 is (tu_{3}(t-3)^3)/(e^{10t)}