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[tex]\left(\frac{x^4y^5}{z^6}\right)^5:\frac{x^4}{z^{16}}=\frac{x^{20}y^{15}}{z^{30}}\times \frac{z^{16}}{x^4}\\=\frac{x^{20-4}y^{15}}{z^{30-16}}\\=\frac{x^{16}y^{15}}{z^{14}}[/tex]