Question

evaluate : 15 raise to 4 * 18 raise to 3 divided by 3 raise to 3 * 5 raise to 2 * 12 raise to 2

Answer 1

$\\ \frac{ {15}^{4} \times {18}^{3} }{ {3}^{3} \times {5}^{2} \times {12}^{2} }$

$\\ \frac{50625 \times 5832}{27 \times 25 \times 144}$

$\\ \frac{295245000}{675\times 144 }$

$\\ \frac{295245000}{97200}$

Reduce the fraction {295245000}/{97200} to its lowest terms by extracting and cancelling out 48600.

$\\ \frac{6075}{2}$

= 3037.5