en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify xe^ye^{-y}

Solution

simplify

x e^{y} e^{- y}

Solution

x

Solution steps

x e^{y} e^{- y}

Apply exponent rule:

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

e^{y} e^{- y} = e^{y - y}

= x e^{y - y}

Add similar elements:

y - y = 0

= x e^{0}

Apply rule

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

e^{0} = 1

= 1 \cdot x

Multiply:

x \cdot 1 = x

= x

Popular Examples

simplify \sqrt[9]{(x+y)^5}simplify

simplify sqrt(4+x)*sqrt(x^2-9)simplify

4 + x \cdot x^{2} - 9

simplify e^{-cos(x)}*sin(x)simplify

e^{- c o s (x)} \cdot sin (x)

simplify e^{-(ln(2)+ln(ln(2)))}simplify

e^{- (l n (2) + l n (l n (2)))}

simplify (4.29x10^{15})(1.51x10^{-4})simplify

(4.29 x 1 0^{15}) (1.51 x 1 0^{- 4})

Frequently Asked Questions (FAQ)

What is xe^ye^{-y} ?
The solution to xe^ye^{-y} is x