(a) \((n^5)(n^{-3})=n^{5+(-3)}=n^2\)

(b) \((s^7)(t^7)=(st)^7\)

(c) \(\frac{r^{12}}{r^4}=r^{12-4}=r^8\)

(d) \((\frac{2a}{b})^5=\frac{(2a)^5}{b^5}=\frac{2^5a^5}{b^5}=\frac{32a^5}{b^5}\)

(e) \((w^5)^{-3}=w^{5 * -3}=w^{-15}=\frac{1}{w^{15}}\)

(f) \((5^0)(d^3)=(1)(d^3)=d^3\)

(g) \(\frac{(x^{10})(y^{-1})}{(x^{-5})(y^5)}=(\frac{x^{10}}{x^{-5}})(\frac{y^{-1}}{y^5})=x^{15}y^{-6}=\frac{x^{15}}{y^6}\)

(h) \(\frac{(\frac{3x}{y})^2}{(\frac{1}{y})^5}=\frac{\frac{9x^2}{y^2}}{(\frac{1^5}{y^5})}=(\frac{9x^2}{y^2})(\frac{y^5}{1^5})=\frac{9x^2y^5}{y^2}=9x^2y^3\)

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