0580 P22 - Nov 2021 - Q13 - 4 marks
12971
(a) Write \(243\times27^{2n}\) as a single power of 3 in terms of n. [2]
(b) Given \(k=2\times3^2\times p^3\), where p is prime and greater than 3, write \(6k^2\) as a product of prime factors. [2]