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

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

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

simplify

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

x + y

Solution steps

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

Simplify

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

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

Apply the fraction rule:

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

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

Simplify

y x (x y)^{- 1} : 1

= \frac{x + y}{1}

Apply the fraction rule:

\frac{a}{1} = a

= x + y

\frac{w - 5.4}{- 1} = - 2.8

- 2 x = - 6

4 (3 h - 7) \leq 20 (h - 1)

∣ x - 1 ∣ < 2

1 - \frac{5}{2}

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