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)} (- \frac{1}{x})

Solution

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

Solution steps

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

Apply exponent rule:

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

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

Remove parentheses:

(- a) = - a

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

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

= - \frac{1}{x} \cdot \frac{1}{x}

Simplify

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

Popular Examples

simplify sqrt(x)sqrt(1+x^{-1)}simplify

x 1 + x^{- 1}

simplify e^{-((-4.5659))/(1.5462)}simplify

e^{- \frac{( - 4.5659 )}{1.5462}}

simplify-(7xy^{-8})simplify

- (7 x y^{- 8})

simplify 4.41*10^{-2}simplify

4.41 \cdot 1 0^{- 2}

simplify 5.49(10^{-2})simplify

5.49 (1 0^{- 2})

Frequently Asked Questions (FAQ)

What is e^{-ln(x)}(-1/x) ?
The solution to e^{-ln(x)}(-1/x) is -1/(x^2)