[tex]a) {25}^{10} \times {5}^{32} \times {125}^{5} = {5}^{20} \times {5}^{32} \times {5}^{15} = {5}^{20 + 32 + 15} = {5}^{67} [/tex]
[tex]b) {9}^{4} \times {27}^{5} \times {3}^{14} = {3}^{8} \times {3}^{15} \times {3}^{14} = {3}^{8 + 15 + 14} = {3}^{37} [/tex]
[tex]c) {2}^{15} \times {4}^{12} \times {8}^{6} = {2}^{15} \times {2}^{24} \times {2}^{18} = {2}^{15 + 24 + 18} = {2}^{57} [/tex]