Given that \(m = 2 ^ { n }\), express each of the following in simplest form in terms of \(m\).
\(2 ^ { n + 3 }\)
\(16 ^ { 3 n }\)
(ii) In this question you must show all stages of your working.
Solutions relying on calculator technology are not acceptable.
Solve the equation
$$x \sqrt { 3 } - 3 = x + \sqrt { 3 }$$
giving your answer in the form \(p + q \sqrt { 3 }\) where \(p\) and \(q\) are integers.