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

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

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)+y^{-3}}

simplify

\frac{x ^{- 1}}{x ^{- 2} + y ^{- 3}}

\frac{x y ^{3}}{y ^{3} + x ^{2}}

Solution steps

\frac{x ^{- 1}}{x ^{- 2} + y ^{- 3}}

Apply exponent rule:

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

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

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

Simplify

x^{- 2} + y^{- 3} : \frac{y ^{3} + x ^{2}}{x ^{2} y ^{3}}

= \frac{\frac{1}{x}}{\frac{y ^{3} + x ^{2}}{x ^{2} y ^{3}}}

Apply the fraction rule:

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

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

Cancel

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

= \frac{x y ^{3}}{y ^{3} + x ^{2}}

3^{- 7} \cdot 3^{9}

\frac{3}{5} x + \geq 150

x^{2} + 4 - 6 = 2 x

54 - 24

4 - 3 ∣ 4 - x ∣ = 2 ∣ 4 - x ∣ - 1

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