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1. (64)⁴ ÷ (8)⁵ = ?

A. (8)⁸

B. (8)²

C. (8)¹²

D. (8)⁴

Solution:

\begin{aligned} {(64)}^{4} \div {(8)}^{5} \\ = {(8^{2})}^{4} \div {(8)}^{5} \\ = {(8)}^{(2 \times 4)} \div 8^{5} \\ = \frac{8^{8}}{8^{5}} \\ = 8^{(8 - 5)} \\ = 8^{3} \end{aligned}

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