(x^{2}y^{4}ยท2x^{4}y^{3} / 2x^{2}y^{4})^{4} = cancel the common factors that are present both in the numerator and the denominator

(x^{4}y^{3})^{4 }= use the properties (ab)^{n} = a^{n} b^{n} and (a^{n})^{m} = a^{mn}

(x^{4})^{4 }(y^{3})^{4 } = x^{16}y^{12}

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