a)
[tex] \frac{ {( {2}^{2} })^{3} }{4 \times {2}^{3} } = \frac{ {2}^{6} }{ {2}^{2} \times {2}^{3} } = \frac{ {2}^{6} }{ {2}^{5} } = {2}^{6} \div {2}^{5} = {2}^{1} = 2 [/tex]
b)
[tex] { ({2}^{2} + {3}^{2} })^{2} = {( {5}^{2} })^{2} = {5}^{4} = 625[/tex]
c)
[tex]2 \times {5}^{3} + 3 \times {5}^{3} = 5 \times {5}^{3} = {5}^{4} = 625 [/tex]
d)
[tex] \frac{ {6}^{5} }{ {2}^{3} \times {3}^{3} } = \frac{ {6}^{5} }{ {6}^{3} } = {6}^{5} \div {6}^{3} = {6}^{2} = 36[/tex]
