21i) 2704 = 2⁴ × 13²

ii) 2704 = 2⁴ × 13²
= 2² × 2² x 13²
= (2 × 2 × 13)²
= 52²

iii) In order for (2⁴ × 13² × m/n) to be a perfect cube, we need to take away one “2” and add one more “13”. So it becomes:

(2⁴ × 13²)× (13/2)
= 2³ × 13³
= (2 × 13)³
= 26³

This means that m/n is 13/2. So m = 13 and n = 2.