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Popular >

simplify (t^3)(e^{-at})

Solution

simplify

(t^{3}) \cdot (e^{- a \cdot t})

Solution

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

Solution steps

(t^{3}) (e^{- a t})

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

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

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

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Frequently Asked Questions (FAQ)

What is (t^3)*(e^{-a*t}) ?
The solution to (t^3)*(e^{-a*t}) is (t^3)/(e^{ta)}