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

The solution to ((x^{-1}*y^{-1}))/((x^{-1)+y^{-1})} is 1/(y+x)

Popular >

simplify ((x^{-1}*y^{-1}))/((x^{-1)+y^{-1})}

simplify

\frac{( x ^{- 1} \cdot y ^{- 1} )}{( x ^{- 1} + y ^{- 1} )}

\frac{1}{y + x}

Solution steps

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

Simplify

x^{- 1} y^{- 1} : \frac{1}{x y}

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

Simplify

x^{- 1} + y^{- 1} : \frac{y + x}{x y}

= \frac{\frac{1}{x y}}{\frac{y + x}{x y}}

Apply the fraction rule:

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

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

Cancel

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

= \frac{1}{y + x}

(\frac{3 x - 4}{2 + 2 z})^{3}

cos (x + y) + \frac{x ^{2}}{6} - \frac{y ^{2}}{6}

2 x^{5} - 4 x^{4} - 9 x^{3} + 18 x^{2} + 4 x - 8

\frac{4 x ^{1}}{9}

16.1 x^{2} x + 50

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