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1. (19)¹² × (19)⁸ ÷ (19)⁴ = (19)^?

A. 6

B. 8

C. 12

D. 24

Solution:

\begin{aligned} \frac{{(19)}^{12} \times {(19)}^{8}}{{(19)}^{4}} \\ = \frac{19^{(12 + 8)}}{{(19)}^{4}} \\ = \frac{{(19)}^{20}}{{(19)}^{4}} \\ = {(19)}^{(20 - 4)} \\ = {(19)}^{16} \end{aligned}

Hence the missing number = 16

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