Easy -1.2 This is a straightforward index law manipulation question requiring only the application of basic rules: rewriting the cube root as x^(1/3) and using the division rule to get x^(1/3-2) = x^(-5/3). With only 2 marks and no problem-solving element, this is easier than average—purely procedural recall of index laws.
Express
$$5 - \frac{\sqrt[3]{x}}{x^2}$$
in the form
$$5x^p - x^q$$
where $p$ and $q$ are constants.
[2 marks]
\hfill \mbox{\textit{AQA Paper 3 2023 Q4 [5]}}