Question

${5}^{3} \times {7}^{3} \times243 \times {2}^{4} \div {10}^{2} \times {3}^{4} \times 49$

Answer 1

${5}^{3} \times {7}^{3} \times243 \times {2}^{4} \div {10}^{2} \times {3}^{4} \times 49 \:$
$= \frac{ {5}^{3} \times {7}^{3} \times {3}^{5} \times {2}^{4} }{ {10}^{2} \times {3}^{4} \times {7}^{2} }$
$= \frac{ {5}^{3} \times {7}^{3 - 2} \times {3}^{5 - 4} \times {2}^{4} }{( {5 \times 2)}^{2} \times }$
$= \frac{ {5}^{3} \times 7 \times 3 \times {2}^{4} }{ {5}^{2} \times {2}^{2} }$
$= {5}^{3 - 2} \times 7 \times 3 \times {2}^{4 - 2}$
$= 5 \times 7 \times 3 \times 4$
$= 420$