a)
[tex]64 \times {2}^{7} = {2}^{6} \times {2}^{7} = {2}^{13} [/tex]
b)
[tex] \frac{ {4}^{8} }{ {2}^{4} } = \frac{( {2}^{2} {)}^{8} }{ {2}^{4} } = \frac{ {2}^{16} }{ {2}^{4} } = {2}^{12} [/tex]
c)
[tex] \frac{ {2}^{10} \times 16}{ {8}^{3} } = \frac{ {2}^{10} \times {2}^{4} }{( {2}^{3} {)}^{3} } = \frac{ {2}^{14} }{ {2}^{9} } = {2}^{5} [/tex]