en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ye^{-ln(y)}e^{ln(y)}

Solution

simplify

y e^{- l n (y)} e^{l n (y)}

Solution

y

Solution steps

y e^{- l n (y)} e^{l n (y)}

Apply exponent rule:

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

e^{- l n (y)} e^{l n (y)} = e^{- l n (y) + l n (y)}

= y e^{- l n (y) + l n (y)}

Add similar elements:

- ln (y) + ln (y) = 0

= y e^{0}

Apply rule

a^{0} = 1, a \neq = 0

e^{0} = 1

= 1 \cdot y

Multiply:

y \cdot 1 = y

= y

Popular Examples

simplify (sqrt(58))/(sqrt(41))simplify

\frac{58}{41}

simplify 5.5*10^{-15}simplify

5.5 \cdot 1 0^{- 15}

simplify \sqrt[5]{(x+1)^2}simplify

simplify \sqrt[3]{\sqrt[4]{sqrt(y)}}simplify

simplify (e^{x+y})(e^{x+y})simplify

(e^{x + y}) (e^{x + y})

Frequently Asked Questions (FAQ)

What is ye^{-ln(y)}e^{ln(y)} ?
The solution to ye^{-ln(y)}e^{ln(y)} is y