Question

simplify
24⁴×9³×4⁴upon 6³×8²×9³
​

Answer 1

$\frac{ {24}^{4} \times {9}^{3} \times {4}^{4} }{ {6}^{3} \times {8}^{2} \times {9}^{3} } \\ = \frac{ {24}^{4} \times {4}^{4} }{ {6}^{3} \times {8}^{2} } \: \: \: \: ( {9}^{3} cancels \: out) \\ = \frac{ {4}^{4} \times {6}^{4} \times {2}^{8} }{ {6}^{3} \times {2}^{6} } \\ = {4}^{4} \times {6}^{4 - 3} \times {2}^{8 - 6} \\ = 256 \times 6 \times 4 \\ = 6144$