simplify y/(e^{-y)}

Solution

simplify

\frac{y}{e ^{- y}}

e^{y} y

Solution steps

\frac{y}{e ^{- y}}

Apply exponent rule:

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

e^{- y} = \frac{1}{e ^{y}}

= \frac{y}{\frac{1}{e ^{y}}}

Apply the fraction rule:

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

= \frac{y e ^{y}}{1}

Apply the fraction rule:

\frac{a}{1} = a

= y e^{y}

\frac{p ^{3}}{p ^{7}}

- \frac{3}{4} + \frac{1}{6}

(\frac{2}{3} - \frac{1}{5})^{- 1}

\frac{x + 2}{x - 1} - 1

7 x^{2} + 12 x - x^{2} - 40 x