en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify x^{-2}((ln(x))/x)

Solution

simplify

x^{- 2} (\frac{ln ( x )}{x})

Solution

\frac{ln ( x )}{x ^{3}}

Solution steps

x^{- 2} (\frac{ln ( x )}{x})

Apply exponent rule:

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

= \frac{1}{x ^{2}} \cdot \frac{ln ( x )}{x}

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{1 \cdot ln ( x )}{x ^{2} x}

Multiply:

1 \cdot ln (x) = ln (x)

= \frac{ln ( x )}{x ^{2} x}

x^{2} x = x^{3}

= \frac{ln ( x )}{x ^{3}}

Popular Examples

simplify 3000(1.6*10^{-17})simplify

3000 (1.6 \cdot 1 0^{- 17})

simplify 3x^2Δx simplify

3 x^{2} Δ x

simplify e^{-x/8}simplify

e^{- \frac{x}{8}}

simplify (e^{x^5})^2 simplify

(e^{x^{5}})^{2}

simplify 1110*(2.95*10^{-4})simplify

1110 \cdot (2.95 \cdot 1 0^{- 4})

Frequently Asked Questions (FAQ)

What is x^{-2}((ln(x))/x) ?
The solution to x^{-2}((ln(x))/x) is (ln(x))/(x^3)