a) \(10^{8}.2^{8}=(10.2)^{8}=20^{8}\)
b) \(10^{8}:2^{8} = (10:2)^{8}=5^{8}\)
c) \(25^{4}.2^{8} = (5^{2})^{4}.2^{8}=5^{8}.2^{8}=(5.2)^8=10^{8}\)
d) \(15^{8}.9^{4} = 15^{8}.(3^{2})^{4}=15^{8}.3^{8}=(15.3)^{8}=45^{8}\)
e) \(27^{2}:25^{3} = (3^{3})^{2} : (5^{2})^{3} = 3^{6} : 5^{6}= {\left( {\dfrac{3}{5}} \right)^6}\)