Question

Simplify using laws of exponents:-

$a ) \: {(12)}^{4} \times 21 \times 16 \div 3 ^{3} \times 49 \times 2$


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Answer 1

Answer:

${12}^{4} \times 21 \times 16 \div {3}^{3} \times 49 \times 2 \\ (2 \times 2 \times 3) ^{4} \times (3 \times 7) \times {4}^{2} \times \frac{1}{ {3}^{3} } \times {7}^{2} \times 2 \\ {2}^{8} \times {3}^{4} \times 3 \times 7 \times {2}^{4} \times \frac{1 }{ {3}^{3} } \times {7}^{2} \times 2 \\ {2}^{8 + 4 + 1 } \times {3}^{2} \times {7}^{1 + 2} \\ {2}^{13} \times {3}^{2} \times {7}^{3} \\ 8192 \times 9 \times 343 \\ 25288704$

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