What is simplify-a*b*t^{b-1}*e^{-a*t^b} ?

The solution to simplify-a*b*t^{b-1}*e^{-a*t^b} is -(abt^{b-1})/(e^{at^b)}

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simplify-abt^{b-1}e^{-at^b}

simplify

- a \cdot b \cdot t^{b - 1} \cdot e^{- a \cdot t^{b}}

- \frac{ab t ^{b - 1}}{e ^{a t^{b}}}

Solution steps

- ab t^{b - 1} e^{- a t^{b}}

Apply exponent rule:

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

= - \frac{1}{e ^{a t^{b}}} ab t^{b - 1}

Multiply fractions:

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

= - \frac{1 \cdot ab t ^{b - 1}}{e ^{a t^{b}}}

Multiply:

1 \cdot a = a

= - \frac{ab t ^{b - 1}}{e ^{a t^{b}}}

\frac{9 - x ^{2}}{x ^{2} - 4}

1 - cos (θ) 1 + cos (θ)

- (\infty^{2} + 1) e^{- \infty}

(3 x - 1)^{3}

e^{s} \cdot e^{s}

What is simplify-a*b*t^{b-1}*e^{-a*t^b} ?
The solution to simplify-a*b*t^{b-1}*e^{-a*t^b} is -(abt^{b-1})/(e^{at^b)}