What is β/α x^{β-1}e^{-(x^β)/α} ?

The solution to β/α x^{β-1}e^{-(x^β)/α} is (βx^{β-1}}{αe^{\frac{x^β)/α}}

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simplify β/α x^{β-1}e^{-(x^β)/α}

simplify

\frac{β}{α} x^{β - 1} e^{- \frac{x ^{β}}{α}}

\frac{β x ^{β - 1}}{α e ^{\frac{x ^{β}}{α}}}

Solution steps

\frac{β}{α} x^{β - 1} e^{- \frac{x ^{β}}{α}}

Apply exponent rule:

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

= \frac{β}{α} \cdot \frac{1}{e ^{\frac{x ^{β}}{α}}} x^{β - 1}

Multiply fractions:

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

= \frac{β \cdot 1 \cdot x ^{β - 1}}{α e ^{\frac{x ^{β}}{α}}}

Multiply:

1 \cdot x^{β - 1} = x^{β - 1}

= \frac{β x ^{β - 1}}{α e ^{\frac{x ^{β}}{α}}}

1.67 \cdot 1 0^{- 27} \cdot (3 \cdot 1 0^{8})^{2}

(7 x^{3}) \cdot (3 x^{2} y)

x^{2} + y^{2} + z^{2}^{3}

(5 x) (2 x^{2})

What is β/α x^{β-1}e^{-(x^β)/α} ?
The solution to β/α x^{β-1}e^{-(x^β)/α} is (βx^{β-1}}{αe^{\frac{x^β)/α}}