IP1U1 SWII Q10

Expressed as the product of its prime factors, \(3375=3^{3} \times 5^{3}\) and \(32400=2^{4} \times 3^{4} \times 5^{2}\).

Using these results,

1. find in prime factorization form, the highest common factor of \(3375\) and \(32400\).
2. find the value of \(\sqrt{32400} \div \sqrt[3]{3375}\).
3. find the smallest positive integer \(k\), such that \(3375k\) is a perfect square.