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

The solution to ((xy^2z^3)^4)/((x^3y^2z)^3) is (y^2z^9)/(x^5)

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

simplify

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

\frac{y ^{2} z ^{9}}{x ^{5}}

Solution steps

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

Simplify

(x y^{2} z^{3})^{4} : x^{4} y^{8} z^{12}

= \frac{x ^{4} y ^{8} z ^{12}}{( x ^{3} y ^{2} z ) ^{3}}

Simplify

(x^{3} y^{2} z)^{3} : x^{9} y^{6} z^{3}

= \frac{x ^{4} y ^{8} z ^{12}}{x ^{9} y ^{6} z ^{3}}

Simplify

\frac{x ^{4}}{x ^{9}} : \frac{1}{x ^{5}}

= \frac{y ^{8} z ^{12}}{x ^{5} y ^{6} z ^{3}}

Simplify

\frac{y ^{8}}{y ^{6}} : y^{2}

= \frac{y ^{2} z ^{12}}{x ^{5} z ^{3}}

Simplify

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

= \frac{y ^{2} z ^{9}}{x ^{5}}

2904

x^{2} + 6 x + 9 - y^{2}

121764

(125 n^{6})^{- \frac{2}{3}}

\frac{2 π}{\frac{2 π}{3}}

What is ((xy^2z^3)^4)/((x^3y^2z)^3) ?
The solution to ((xy^2z^3)^4)/((x^3y^2z)^3) is (y^2z^9)/(x^5)