What is (6x^3y)(x^2)^{-2} ?

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

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simplify (6x^3y)(x^2)^{-2}

simplify

(6 x^{3} y) (x^{2})^{- 2}

\frac{6 y}{x}

Solution steps

(6 x^{3} y) (x^{2})^{- 2}

Simplify

(x^{2})^{- 2} : \frac{1}{x ^{4}}

= 6 x^{3} y \frac{1}{x ^{4}}

Apply the fraction rule:

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

= \frac{6 x ^{3} y \cdot 1}{x ^{4}}

Multiply the numbers:

6 \cdot 1 = 6

= \frac{6 x ^{3} y}{x ^{4}}

Simplify

\frac{x ^{3}}{x ^{4}} : \frac{1}{x}

= \frac{6 y}{x}

2 y - 8 + x y - 4 x

c^{2} + 15 c + 44

16 a^{2} - 8 a + 1

k^{3} - 27

(\frac{1}{6})^{1}