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\frac{x^{2}y^{2}y^{4}}{\left(xy\right)^{3}}
To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.
\frac{x^{2}y^{6}}{\left(xy\right)^{3}}
To multiply powers of the same base, add their exponents. Add 2 and 4 to get 6.
\frac{x^{2}y^{6}}{x^{3}y^{3}}
Expand \left(xy\right)^{3}.
\frac{y^{3}}{x}
Cancel out x^{2}y^{3} in both numerator and denominator.
\frac{x^{2}y^{2}y^{4}}{\left(xy\right)^{3}}
To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.
\frac{x^{2}y^{6}}{\left(xy\right)^{3}}
To multiply powers of the same base, add their exponents. Add 2 and 4 to get 6.
\frac{x^{2}y^{6}}{x^{3}y^{3}}
Expand \left(xy\right)^{3}.
\frac{y^{3}}{x}
Cancel out x^{2}y^{3} in both numerator and denominator.