OCR H240/02 — Question 1 4 marks

Exam BoardOCR
ModuleH240/02 (Pure Mathematics and Statistics)
Marks4
PaperDownload PDF ↗
TopicIndices and Surds
TypeSimplify algebraic expressions with indices
DifficultyEasy -1.3 This is a straightforward indices and surds question requiring only direct application of basic index laws (√x = x^(1/2), multiplication adds powers, power of a power multiplies). Both parts are routine drill exercises with no problem-solving element, making it easier than average A-level content.
Spec1.02a Indices: laws of indices for rational exponents1.02b Surds: manipulation and rationalising denominators

1 Simplify fully.
  1. \(\sqrt { a ^ { 3 } } \times \sqrt { 16 a }\)
  2. \(\quad \left( 4 b ^ { 6 } \right) ^ { \frac { 5 } { 2 } }\)

1 Simplify fully.
\begin{enumerate}[label=(\alph*)]
\item $\sqrt { a ^ { 3 } } \times \sqrt { 16 a }$
\item $\quad \left( 4 b ^ { 6 } \right) ^ { \frac { 5 } { 2 } }$
\end{enumerate}

\hfill \mbox{\textit{OCR H240/02  Q1 [4]}}