$\frac{{10}^2}{{12}^2}=(\frac{10}{12}{)}^2$

$\frac{4^3}{5^6}=\frac{(2^2{)}^3}{5^6}=\frac{2^6}{5^6}=(\frac{2}{5}{)}^6$

$\frac{{25}^4}{7^8}=\frac{(5^2{)}^4}{7^8}=\frac{5^8}{7^8}=(\frac{5}{7}{)}^8$

$\frac{(m^3{)}^4}{(a^4{)}^3}=\frac{m^{12}}{a^{12}}=(\frac{m}{a}{)}^{12}$

$\frac{m^3{m}^5}{a^8}=\frac{m^{3+5}}{a^8}=\frac{m^8}{a^8}=(\frac{m}{a}{)}^8$

$\frac{(n^6{)}^2}{a^{12}}=\frac{n^{6\ast <!--\; \ast \; -->2}}{a^{12}}=\frac{n^{12}}{a^{12}}=(\frac{n}{a}{)}^{12}$