$(\frac{a^6}{b^3}{)}^{10}=\frac{a^{6\ast <!--\; \ast \; -->10}}{b^{3\ast <!--\; \ast \; -->10}}=\frac{a^{60}}{b^{30}}$

$(-<!--\; -\; -->\frac{4m}{9n^3}{)}^2=\frac{4^2{m}^2}{9^2{n}^{3\ast <!--\; \ast \; -->2}}=\frac{16m^2}{81n^6}$

$(-<!--\; -\; -->\frac{10c^7}{3d^5}{)}^3=-<!--\; -\; -->\frac{{10}^3{c}^{7\ast <!--\; \ast \; -->3}}{3^3{d}^{5\ast <!--\; \ast \; -->3}}=-<!--\; -\; -->\frac{1000c^{21}}{27d^{15}}$

$(\frac{2m^3{n}^2}{k{p}^8}{)}^6=\frac{2^6{m}^{3\ast <!--\; \ast \; -->6}{n}^{2\ast <!--\; \ast \; -->6}}{k^6{p}^{8\ast <!--\; \ast \; -->6}}=\frac{64m^{18}{n}^{12}}{k^6{p}^{48}}$