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

The solution to ((-2x^{-2}y^4)/(x^2y^6))^3 is -8/(x^{12)y^6}

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simplify ((-2x^{-2}y^4)/(x^2y^6))^3

simplify

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

- \frac{8}{x ^{12} y ^{6}}

Solution steps

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

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

Simplify

(- 2 x^{- 2} y^{4})^{3} : - \frac{8 y ^{12}}{x ^{6}}

= \frac{- \frac{8 y ^{12}}{x ^{6}}}{( x ^{2} y ^{6} ) ^{3}}

Simplify

(x^{2} y^{6})^{3} : x^{6} y^{18}

= \frac{- \frac{8 y ^{12}}{x ^{6}}}{x ^{6} y ^{18}}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{\frac{8 y ^{12}}{x ^{6}}}{x ^{6} y ^{18}}

Apply the fraction rule:

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

\frac{\frac{8 y ^{12}}{x ^{6}}}{x ^{6} y ^{18}} = \frac{8 y ^{12}}{x ^{6} x ^{6} y ^{18}}

= - \frac{8 y ^{12}}{x ^{6} x ^{6} y ^{18}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = \frac{1}{x ^{b - a}}

\frac{y ^{12}}{y ^{18}} = \frac{1}{y ^{18 - 12}}

= \frac{8}{x ^{6} x ^{6} y ^{18 - 12}}

Subtract the numbers:

18 - 12 = 6

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

x^{6} x^{6} y^{6} = x^{12} y^{6}

= - \frac{8}{x ^{12} y ^{6}}

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

6 + 2 n = 3

119 - 0.16 \cdot 28 \cdot 9.8 = 28 \cdot x

\frac{1}{2} \cdot 12 \cdot 5

\frac{8}{20} \cdot 100

What is ((-2x^{-2}y^4)/(x^2y^6))^3 ?
The solution to ((-2x^{-2}y^4)/(x^2y^6))^3 is -8/(x^{12)y^6}