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Popular >

simplify a(-2/b)e^{-b(-2/b)}

Solution

simplify

a (- \frac{2}{b}) e^{- b (- \frac{2}{b})}

Solution

- \frac{2 e ^{2} a}{b}

Solution steps

a (- \frac{2}{b}) e^{- b (- \frac{2}{b})}

Apply exponent rule:

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

= a (- \frac{2}{b}) \frac{1}{e ^{(- \frac{2}{b}) b}}

Remove parentheses:

(- a) = - a

= - a \frac{2}{b} \cdot \frac{1}{e ^{- b \frac{2}{b}}}

\frac{1}{e ^{- b \frac{2}{b}}} = e^{2}

= - e^{2} a \frac{2}{b}

Multiply fractions:

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

= - \frac{2 a e ^{2}}{b}

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Frequently Asked Questions (FAQ)

What is a(-2/b)e^{-b(-2/b)} ?
The solution to a(-2/b)e^{-b(-2/b)} is -(2e^2a)/b