Question

Simplify using laws of exponents
12'4'x9'3'x4
6'3'x8'2'x27

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

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$\frac{ {12}^{4} \times {9}^{3} \times 4}{ {6}^{3} \times {8}^{2} \times 27 } \\ \\ \frac{ {2}^{4 } \times {6}^{4} \times {3}^{3} \times {3}^{3} \times {2}^{2} \ }{ {2}^{3} \times {3}^{3} \times {2}^{2} \times {4}^{2} \times 3 \times 9 } \\ \\ \frac{ {6}^{4} \times {3}^{2} \times 2}{ {4}^{2} \times 9} \\ \\ \frac{ {2}^{4} \times {3}^{4} \times {3}^{2} \times 2}{ {2}^{2} \times {2}^{2} \times 3 \times 3} \\ \\ = \: {3}^{4 } \times 2 \\ \\ = 3 \times 3 \times 3 \times 3 \times 2 \\ \\ = 9 \times 9 \times 2 \\ \\ = 81 \times 2 \\ \\ = 162$