Answer:
C
Step-by-step explanation:
[tex] \frac{(2 {a}^{7} \: b)^{2} }{32 \: {b}^{6} } \\ \\ = \frac{ {2}^{2} \times {a}^{7 \times 2} \times {b}^{2} }{32 \: {b}^{6} } \\ \\ = \frac{4 \times {a}^{14}}{32 \: {b}^{6 - 2} } \\ \\ = \frac{ {a}^{14}}{8 \: {b}^{4} } [/tex]
