What is (x^2y^3)^{-2}(x^4)^2 ?

The solution to (x^2y^3)^{-2}(x^4)^2 is (x^4)/(y^6)

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simplify (x^2y^3)^{-2}(x^4)^2

simplify

(x^{2} y^{3})^{- 2} (x^{4})^{2}

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

Solution steps

(x^{2} y^{3})^{- 2} (x^{4})^{2}

Simplify

(x^{2} y^{3})^{- 2} : \frac{1}{x ^{4} y ^{6}}

= \frac{1}{x ^{4} y ^{6}} (x^{4})^{2}

Simplify

(x^{4})^{2} : x^{8}

= \frac{1}{x ^{4} y ^{6}} x^{8}

Apply the fraction rule:

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

= \frac{1 \cdot x ^{8}}{x ^{4} y ^{6}}

Apply rule:

1 \cdot a = a

1 \cdot x^{8} = x^{8}

= \frac{x ^{8}}{x ^{4} y ^{6}}

Simplify

\frac{x ^{8}}{x ^{4}} : x^{4}

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

40 x^{2} + 7 x - 20

7 x = - 3

\frac{y}{x} - \frac{x}{y}

(- 343 x^{- 6})^{\frac{1}{3}}

6 r^{2} - r - 1

What is (x^2y^3)^{-2}(x^4)^2 ?
The solution to (x^2y^3)^{-2}(x^4)^2 is (x^4)/(y^6)