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-1})

Solution

simplify

e^{y} (e^{y - 1})

Solution

e^{2 y - 1}

Solution steps

e^{y} (e^{y - 1})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{y} e^{y - 1} = e^{y + y - 1}

= e^{y + y - 1}

Add similar elements:

y + y = 2 y

= e^{2 y - 1}

Popular Examples

simplify 5.56*10^{-6}*3600 simplify

5.56 \cdot 1 0^{- 6} \cdot 3600

expand-x^{1/2}*x^{-1/2}expand

- x^{\frac{1}{2}} \cdot x^{- \frac{1}{2}}

simplify e^{-t}3(tan(1/s))/s simplify

e^{- t} 3 \frac{tan ( \frac{1}{s} )}{s}

simplify (2\sqrt[3]{4})(5\sqrt[3]{3})simplify

simplify (x^{1/(a-1)})/(y^{1/(a-1))}simplify

\frac{x ^{\frac{1}{a - 1}}}{y ^{\frac{1}{a - 1}}}

Frequently Asked Questions (FAQ)

What is e^y(e^{y-1}) ?
The solution to e^y(e^{y-1}) is e^{2y-1}