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\frac{3^{5}y^{2}x^{4}}{\left(x^{2}y^{2}\right)^{2}}
Cancel out 3^{4}x in both numerator and denominator.
\frac{243y^{2}x^{4}}{\left(x^{2}y^{2}\right)^{2}}
Calculate 3 to the power of 5 and get 243.
\frac{243y^{2}x^{4}}{\left(x^{2}\right)^{2}\left(y^{2}\right)^{2}}
Expand \left(x^{2}y^{2}\right)^{2}.
\frac{243y^{2}x^{4}}{x^{4}\left(y^{2}\right)^{2}}
To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.
\frac{243y^{2}x^{4}}{x^{4}y^{4}}
To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.
\frac{243}{y^{2}}
Cancel out y^{2}x^{4} in both numerator and denominator.
\frac{3^{5}y^{2}x^{4}}{\left(x^{2}y^{2}\right)^{2}}
Cancel out 3^{4}x in both numerator and denominator.
\frac{243y^{2}x^{4}}{\left(x^{2}y^{2}\right)^{2}}
Calculate 3 to the power of 5 and get 243.
\frac{243y^{2}x^{4}}{\left(x^{2}\right)^{2}\left(y^{2}\right)^{2}}
Expand \left(x^{2}y^{2}\right)^{2}.
\frac{243y^{2}x^{4}}{x^{4}\left(y^{2}\right)^{2}}
To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.
\frac{243y^{2}x^{4}}{x^{4}y^{4}}
To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.
\frac{243}{y^{2}}
Cancel out y^{2}x^{4} in both numerator and denominator.