simplify 1/(e^{-y)}

Solution

simplify

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

e^{y}

Solution steps

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

Apply exponent rule:

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

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

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

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

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

Apply the fraction rule:

\frac{a}{1} = a

= e^{y}

(0.04)^{2}

\frac{400}{3}

(3 x^{2} + 4 x - 8) - (- 2 x^{2} + 4 x + 2)

cos (x) + \frac{sin ^{2} ( x )}{cos ( x )}

x^{2} (x^{2} + 1)