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

The solution to (((x^2*y^{-4}))/((x^{-2)*y^5)})^2 is (x^8)/(y^{18)}

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

simplify

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

\frac{x ^{8}}{y ^{18}}

Solution steps

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

Apply exponent rule:

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

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

Simplify

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

= \frac{\frac{x ^{4}}{y ^{8}}}{( x ^{- 2} y ^{5} ) ^{2}}

Simplify

(x^{- 2} y^{5})^{2} : \frac{y ^{10}}{x ^{4}}

= \frac{\frac{x ^{4}}{y ^{8}}}{\frac{y ^{10}}{x ^{4}}}

Divide fractions:

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

= \frac{x ^{4} x ^{4}}{y ^{8} y ^{10}}

x^{4} x^{4} = x^{8}

= \frac{x ^{8}}{y ^{10} y ^{8}}

y^{8} y^{10} = y^{18}

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

\frac{( 10 x ^{6} + 12 x ^{5} )}{( 2 x ^{3} )}

y^{2} - 36 - x^{2} - 12 x

15 - [12 - 3 \cdot 4 x (- 5) + 10]

y^{3} + a^{3}

x + 3 x^{6} + 3 x^{5} + 2 x^{2} + 1

What is (((x^2*y^{-4}))/((x^{-2)*y^5)})^2 ?
The solution to (((x^2*y^{-4}))/((x^{-2)*y^5)})^2 is (x^8)/(y^{18)}