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

The solution to ((3x^3y)^4)/((3xy^2)^3) is (3x^9)/(y^2)

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

simplify

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

\frac{3 x ^{9}}{y ^{2}}

Solution steps

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

Simplify

(3 x^{3} y)^{4} : 3^{4} x^{12} y^{4}

= \frac{3 ^{4} x ^{12} y ^{4}}{( 3 x y ^{2} ) ^{3}}

Simplify

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

= \frac{3 ^{4} x ^{12} y ^{4}}{3 ^{3} x ^{3} y ^{6}}

\frac{3 ^{4}}{3 ^{3}} = 3

= \frac{3 x ^{12} y ^{4}}{x ^{3} y ^{6}}

Simplify

\frac{x ^{12}}{x ^{3}} : x^{9}

= \frac{3 x ^{9} y ^{4}}{y ^{6}}

Simplify

\frac{y ^{4}}{y ^{6}} : \frac{1}{y ^{2}}

= \frac{3 x ^{9}}{y ^{2}}

\frac{x}{x + 3} + 3

(- y^{4})^{2}

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

\frac{54}{100}

\frac{5 ^{2}}{2}

What is ((3x^3y)^4)/((3xy^2)^3) ?
The solution to ((3x^3y)^4)/((3xy^2)^3) is (3x^9)/(y^2)