What is ((-4x^3y^4)^{-2})/((6x^2y^5)^{-2)} ?

The solution to ((-4x^3y^4)^{-2})/((6x^2y^5)^{-2)} is (9y^2)/(4x^2)

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simplify ((-4x^3y^4)^{-2})/((6x^2y^5)^{-2)}

simplify

\frac{( - 4 x ^{3} y ^{4} ) ^{- 2}}{( 6 x ^{2} y ^{5} ) ^{- 2}}

\frac{9 y ^{2}}{4 x ^{2}}

Solution steps

\frac{( - 4 x ^{3} y ^{4} ) ^{- 2}}{( 6 x ^{2} y ^{5} ) ^{- 2}}

Simplify

(- 4 x^{3} y^{4})^{- 2} : \frac{1}{16 x ^{6} y ^{8}}

= \frac{\frac{1}{16 x ^{6} y ^{8}}}{( 6 x ^{2} y ^{5} ) ^{- 2}}

Apply the fraction rule:

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

= \frac{1}{16 x ^{6} y ^{8} ( 6 x ^{2} y ^{5} ) ^{- 2}}

Simplify

16 x^{6} y^{8} (6 x^{2} y^{5})^{- 2} : \frac{4 x ^{2}}{9 y ^{2}}

= \frac{1}{\frac{4 x ^{2}}{9 y ^{2}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{9 y ^{2}}{4 x ^{2}}

\frac{( w ^{2} + 2 w )}{w}

(3 y + 7)^{2}

(4 x + 3)^{3} - 125

y^{5} - 5 y^{3} + 3 y^{2} + 5 y + \frac{3}{100} y^{2} + 4 y + 2

\frac{( x ^{3} + 64 )}{( x + 4 )}

What is ((-4x^3y^4)^{-2})/((6x^2y^5)^{-2)} ?
The solution to ((-4x^3y^4)^{-2})/((6x^2y^5)^{-2)} is (9y^2)/(4x^2)