What is x^{-1}(x^{-2}+x^{-3}) ?

The solution to x^{-1}(x^{-2}+x^{-3}) is (x+1)/(x^4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify x^{-1}(x^{-2}+x^{-3})

simplify

x^{- 1} (x^{- 2} + x^{- 3})

\frac{x + 1}{x ^{4}}

Solution steps

x^{- 1} (x^{- 2} + x^{- 3})

Apply exponent rule:

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

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

= \frac{1}{x} (x^{- 2} + x^{- 3})

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

x^{- 3} = \frac{1}{x ^{3}}

= \frac{1}{x} (\frac{1}{x ^{2}} + \frac{1}{x ^{3}})

Apply the fraction rule:

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

= \frac{1 \cdot ( \frac{1}{x ^{2}} + \frac{1}{x ^{3}} )}{x}

Simplify

1 \cdot (\frac{1}{x ^{2}} + \frac{1}{x ^{3}}) : \frac{x + 1}{x ^{3}}

= \frac{\frac{x + 1}{x ^{3}}}{x}

Apply the fraction rule:

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

= \frac{x + 1}{x ^{3} x}

Simplify

x^{3} x : x^{4}

= \frac{x + 1}{x ^{4}}

\frac{12 a ^{4} b ^{6}}{36 a b ^{2} c}

- 4160

\frac{4 ( u ^{5} ) ^{3}}{20 u ^{10}}

(- 8) + (- 7)

2^{2} ln (2)

What is x^{-1}(x^{-2}+x^{-3}) ?
The solution to x^{-1}(x^{-2}+x^{-3}) is (x+1)/(x^4)