a)
[tex] \frac{ {b}^{2} \times { ({b}^{4} )}^{3} }{ {b}^{3} \times {b}^{3} } = \frac{ {b}^{2} \times {b}^{12} }{ {b}^{6} } = \frac{ {b}^{14} }{ {b}^{6} } = {b}^{8} [/tex]
b)
[tex] \frac{ { ({2}^{3}) }^{2} \times 2 }{ {2}^{6} } = \frac{ {2}^{6} \times 2 }{ {2}^{6} } = \frac{ {2}^{7} }{ {2}^{6} } = 2[/tex]
c)
[tex] \frac{ { ({a}^{3}) }^{8} }{ {( {a}^{2} )}^{7} \times a } = \frac{ {a}^{24} }{ {a}^{14} \times a } = \frac{ {a}^{24} }{ {a}^{15} } = {a}^{9} [/tex]