en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^{-(ln(x+1)+x)}

Solution

simplify

e^{- (l n (x + 1) + x)}

Solution

\frac{1}{e ^{x} ( x + 1 )}

Solution steps

e^{- (l n (x + 1) + x)}

Apply exponent rule:

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

= \frac{1}{e ^{(l n (x + 1) + x)}}

Remove parentheses:

(a) = a

= \frac{1}{e ^{l n (x + 1) + x}}

e^{l n (x + 1) + x} = e^{x} (x + 1)

= \frac{1}{e ^{x} ( x + 1 )}

Popular Examples

simplify x^2(3x^2-3)^2 simplify

x^{2} (3 x^{2} - 3)^{2}

simplify e^{-(rt)/l}simplify

e^{- \frac{r t}{l}}

simplify t*e^at*cos(bt)simplify

t \cdot e^{a} t \cdot cos (b t)

simplify 2xe^{-x}*e^x simplify

2 x e^{- x} \cdot e^{x}

simplify e^{-at}sin(ωt)u(t)simplify

e^{- a t} sin (ω t) u (t)

Frequently Asked Questions (FAQ)

What is e^{-(ln(x+1)+x)} ?
The solution to e^{-(ln(x+1)+x)} is 1/(e^x(x+1))