OCR MEI C1 — Question 13 5 marks

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Marks5
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicIndices and Surds
TypeEvaluate numerical powers
DifficultyEasy -1.3 This is a straightforward C1 question testing basic index laws and algebraic manipulation. Part (a) requires evaluating simple fractional powers of perfect powers (16=2^4, 81=3^4) and part (b) involves routine application of power rules and simplification. Both are standard textbook exercises with no problem-solving element, making this easier than average.
Spec1.02a Indices: laws of indices for rational exponents

Simplify the following.
  1. \(\frac{16^{\frac{1}{3}}}{81^{\frac{1}{4}}}\) [2]
  2. \(\frac{12(a^3b^2c)^4}{4a^2c^6}\) [3]

Question 13:
AnswerMarks
13(ii)) 4
3a10b8
(iii) a10b8c-2 or
AnswerMarks
c22
31 for 4 or 27
2 for 3 ‘elements’ correct, 1 for 2
elements correct, −1 for any adding of
elements; mark final answer; condone
AnswerMarks
correct but unnecessary brackets5
Question 13:
13 | (ii)) 4
3a10b8
(iii) a10b8c-2 or
c2 | 2
3 | 1 for 4 or 27
2 for 3 ‘elements’ correct, 1 for 2
elements correct, −1 for any adding of
elements; mark final answer; condone
correct but unnecessary brackets | 5
Simplify the following.
\begin{enumerate}[label=(\alph*)]
\item $\frac{16^{\frac{1}{3}}}{81^{\frac{1}{4}}}$ [2]

\item $\frac{12(a^3b^2c)^4}{4a^2c^6}$ [3]
\end{enumerate}

\hfill \mbox{\textit{OCR MEI C1  Q13 [5]}}