a) [tex]4^{16} X 8^{12} X 16^{15} =
2^{2 ^{16} } X 2^{3 ^{12} } X 2^{4 ^{15} } =
2^{32} X 2^{36} X 2^{60}=
2^{32+36+60}= 2^{128}[/tex]
b) [tex]25^{10} X 5^{32} X 125^{5}=
5^{2^{10}} X 5^{32} X 5^{3^{5}}=
5^{20} X 5^{32} X 5^{15}=
5^{20+32+15}= 5^{67}[/tex]
d)[tex]9^{4} X 27^{5} X 3^{14}=
3^{2^{4}} X 3^{3^{5}} X 3^{14}=
3^{8} X 3^{15} X 3^{14}=
3^{8+15+14}= 3^{27} [/tex]