What is ((2xy)^6)/((2xy)^4) ?

The solution to ((2xy)^6)/((2xy)^4) is 4x^2y^2

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simplify ((2xy)^6)/((2xy)^4)

simplify

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

4 x^{2} y^{2}

Solution steps

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

Apply exponent rule:

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

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

Subtract the numbers:

6 - 4 = 2

= (2 x y)^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

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

2^{2} = 4

= 4 x^{2} y^{2}

10 - \frac{8}{3}

5 (\frac{5}{2})

42 + 2

\frac{3}{5}

12 + (- 20)