a) `\9`.$3^{2}$.`\27` = $3^{2}$.$3^{2}$.$3^{3}$ = $3^{2+2+3}$ = $3^{7}$
b) `\8`.$2^{5}$.$2^{0}$.`\16` = $2^{3}$.$2^{5}$.$2^{0}$.$2^{4}$ = $2^{3+5+0+4}$ = $2^{12}$
c) $27^{2}$.$3^{4}$.$9^{2}$ = $27^{2}$.$3^{4}$.$3^{4}$ = $27^{2}$.$(3.3)^{4}$ = $9^{3}$. $9^{4}$ = $9^{3+4}$ = $9^{7}$
d) $25^{2}$.$5^{5}$.`\125` = $5^{4}$.$5^{5}$.$5^{3}$ = $5^{4+5+3}$ = $5^{12}$