What is ((2x^2)^3y^2)/(4x^4y^2) ?

The solution to ((2x^2)^3y^2)/(4x^4y^2) is 2x^2

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simplify ((2x^2)^3y^2)/(4x^4y^2)

simplify

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

2 x^{2}

Solution steps

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

Cancel the common factor:

y^{2}

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

Simplify

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

= \frac{2 ^{3} x ^{6}}{4 x ^{4}}

Factor the number:

4 = 2^{2}

= \frac{2 ^{3} x ^{6}}{2 ^{2} x ^{4}}

\frac{2 ^{3}}{2 ^{2}} = 2

= \frac{2 x ^{6}}{x ^{4}}

Simplify

\frac{x ^{6}}{x ^{4}} : x^{2}

= 2 x^{2}

4 p q^{2} + 5 q r + 3 pq r

3 (y + 1) + 2 y = 5 (y - 1) + 5

(46.8)^{2} + (21.6)^{2} = c^{2}

\frac{( 2 a ^{3} b ^{4} ) ^{3}}{( 2 a b ^{2} ) ^{5}}

- 8 (8 b - 7) = - 1 - 7 b

What is ((2x^2)^3y^2)/(4x^4y^2) ?
The solution to ((2x^2)^3y^2)/(4x^4y^2) is 2x^2