What is ((4x^2*y^2)^2)/((2x^2*y^2)) ?

The solution to ((4x^2*y^2)^2)/((2x^2*y^2)) is 8x^2y^2

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simplify ((4x^2y^2)^2)/((2x^2y^2))

simplify

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

8 x^{2} y^{2}

Solution steps

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

Simplify

(4 x^{2} y^{2})^{2} : 16 x^{4} y^{4}

= \frac{16 x ^{4} y ^{4}}{2 x ^{2} y ^{2}}

Factor the number:

16 = 2 \cdot 8

= \frac{2 \cdot 8 x ^{4} y ^{4}}{2 x ^{2} y ^{2}}

Cancel the common factor:

2

= \frac{8 x ^{4} y ^{4}}{x ^{2} y ^{2}}

Simplify

\frac{x ^{4}}{x ^{2}} : x^{2}

= \frac{8 x ^{2} y ^{4}}{y ^{2}}

Simplify

\frac{y ^{4}}{y ^{2}} : y^{2}

= 8 x^{2} y^{2}

10 x - 4 x

(2 x - 3)^{3} - (x + 5)^{3}

\frac{8 i 8}{4.3}

z^{4} + 4

\frac{x ^{2} - x - 12}{x ^{2} - 9}

What is ((4x^2*y^2)^2)/((2x^2*y^2)) ?
The solution to ((4x^2*y^2)^2)/((2x^2*y^2)) is 8x^2y^2