OCR MEI C1 2011 June — Question 3 5 marks

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Year2011
SessionJune
Marks5
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicIndices and Surds
TypeEvaluate numerical powers
DifficultyEasy -1.3 This is a straightforward C1 indices question testing basic recall and application of index laws. Part (i) requires simple manipulation of negative and fractional powers with no problem-solving. Part (ii) involves routine algebraic simplification using standard index rules. Both parts are mechanical exercises below average A-level difficulty.
Spec1.02a Indices: laws of indices for rational exponents

  1. Evaluate \(\left(\frac{9}{16}\right)^{-\frac{1}{2}}\). [2]
  2. Simplify \(\frac{(2ac^2)^3 \times 9a^2c}{36a^4c^{12}}\). [3]

\begin{enumerate}[label=(\roman*)]
\item Evaluate $\left(\frac{9}{16}\right)^{-\frac{1}{2}}$. [2]
\item Simplify $\frac{(2ac^2)^3 \times 9a^2c}{36a^4c^{12}}$. [3]
\end{enumerate}

\hfill \mbox{\textit{OCR MEI C1 2011 Q3 [5]}}