\( \Large \left(4 \times 4 \times 4 \times 4 \times 4 \times 4\right)^{5} \times \left(4 \times 4 \times 4\right)^{8} \div \left(4\right)^{3} = \left(64\right)^{?} \)

A) 17

B) 10

C) 16

D) 11

Correct answer:
A) 17

Description for Correct answer:

\( \Large \left(4 \times 4 \times 4 \times 4 \times 4 \times 4\right)^{5} \div \left(4 \times 4 \times 4\right)^{8} = \left(64\right)^{?} \)

\( \Large \left(4^{6}\right)^{5} \times \left(4^{3}\right)^{8} \times \frac{1}{ \left(4\right)^{3} } = \left(4^{3}\right)^{?} \)

\( \Large \frac{ \left(4\right)^{30} \times \left(4\right)^{24} }{ \left(4\right)^{3} } = \left(4\right)^{3 \times ?} \)

\( \Large 4^{30+24-3} = 4^{3 \times ?} \)

\( \Large 4^{51} = 4^{3 \times ?} => 3 \times ? = 51 \)

\( \Large ? = \frac{51}{3} = 17 \)



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