What is (2x^2y)/(6xy^{-1)} ?

The solution to (2x^2y)/(6xy^{-1)} is (xy^2)/3

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simplify (2x^2y)/(6xy^{-1)}

simplify

\frac{2 x ^{2} y}{6 x y ^{- 1}}

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

Solution steps

\frac{2 x ^{2} y}{6 x y ^{- 1}}

Factor the number:

6 = 2 \cdot 3

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

Cancel the common factor:

2

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

Simplify

\frac{x ^{2}}{x} : x

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

Simplify

\frac{y}{y ^{- 1}} : y^{2}

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

(\frac{a}{b ^{2}})^{- 2} (\frac{a}{b ^{2}})^{- 3}

∣ x ∣ = 6.5

\frac{15}{12}

- 10 - (- 5)

5 x^{2} - 4 x - 9 = - 9