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

The solution to ((4x^4y^2)/(6xy))^2 is (4x^6y^2)/9

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

simplify

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

\frac{4 x ^{6} y ^{2}}{9}

Solution steps

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

Apply exponent rule:

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

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

Simplify

(4 x^{4} y^{2})^{2} : 16 x^{8} y^{4}

= \frac{16 x ^{8} y ^{4}}{( 6 x y ) ^{2}}

Simplify

(6 x y)^{2} : 36 x^{2} y^{2}

= \frac{16 x ^{8} y ^{4}}{36 x ^{2} y ^{2}}

Cancel the common factor:

4

= \frac{4 x ^{8} y ^{4}}{9 x ^{2} y ^{2}}

Apply exponent rule:

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

\frac{x ^{8}}{x ^{2}} = x^{8 - 2}

= \frac{4 y ^{4} x ^{8 - 2}}{9 y ^{2}}

Subtract the numbers:

8 - 2 = 6

= \frac{4 x ^{6} y ^{4}}{9 y ^{2}}

Apply exponent rule:

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

\frac{y ^{4}}{y ^{2}} = y^{4 - 2}

= \frac{4 x ^{6} y ^{4 - 2}}{9}

Subtract the numbers:

4 - 2 = 2

= \frac{4 x ^{6} y ^{2}}{9}

42 x + 18 = - 24 + 98 x

∣ 4 x + 3 ∣ < 2

16 x^{7} \cdot 48 x^{4}

3 x + 7 = 52 - 2 x

1 - \frac{3}{2}

What is ((4x^4y^2)/(6xy))^2 ?
The solution to ((4x^4y^2)/(6xy))^2 is (4x^6y^2)/9