en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (e^y)/(e^{-y)}

Solution

simplify

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

Solution

e^{2 y}

Solution steps

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

Apply exponent rule:

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

= e^{y - (- y)}

Apply rule

- (- a) = a

= e^{y + y}

Add similar elements:

y + y = 2 y

= e^{2 y}

Popular Examples

simplify 4^{-2}0.7^{-2}simplify

4^{- 2} 0. 7^{- 2}

simplify 0.1*10^{-5}simplify

0.1 \cdot 1 0^{- 5}

simplify (2x+4)^2(2x-4)^2 simplify

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

simplify 0.2*2^{-49}simplify

0.2 \cdot 2^{- 49}

simplify e^{-0.4t}cos(12t)simplify

e^{- 0.4 t} cos (12 t)

Frequently Asked Questions (FAQ)

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