(a(i))[1]
Write $54$ as a product of prime factors.
(a(ii))[1]
Find the smallest integer $m$ that makes $54m$ a cube number.
(b(i))[1]
Find the value of $k$ in $\sqrt{27} = 3^k$.
(b(ii))[1]
Find the value of $k$ for which $\left(\frac{1}{4}\right)^{-3} = 2^k$.