e) [tex]\displaystyle{[(7^{2})^{3}]^{4}=(7^{2 \cdot 3})^{4}=(7^{6})^{4}=7^{4 \cdot 6} = 7^{24} }[/tex]
f) [tex]\displaystyle{ [(10^{2})^{3}]^{0}= 10^{0} = 1}[/tex]
g) [tex]\displaystyle{ [(x^{2})^{5}]^{1}=(x^{2 \cdot 5})^{1} = (x^{10})^{1} = x^{10} }[/tex]
h) [tex]\displaystyle{[(a^{4})^{2}]^{2}=(a^{4 \cdot 2})^{2}=(a^{8})^{2}=a ^{8 \cdot 2} = a ^{16}}[/tex]