OCR MEI C1 — Question 7 3 marks

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Marks3
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicIndices and Surds
TypeSimplify algebraic expressions with indices
DifficultyEasy -1.2 This is a straightforward algebraic manipulation question requiring only routine application of index laws (power of a product, multiplication of powers, division of powers). It involves multiple steps but no problem-solving or conceptual insight—purely mechanical simplification that any competent C1 student should handle with basic recall.
Spec1.02a Indices: laws of indices for rational exponents

Simplify \(\frac{(4x^5 y)^3}{(2xy^2) \times (8x^{10}y^4)}\). [3]

Question 7:
AnswerMarks
74x4
4x4y-3 or as final answer
AnswerMarks
y33
[3]B1 each ‘term’;
or M1 for numerator = 64x15y3 and M1 for
AnswerMarks
denominator = 16x11y6B0 if obtained fortuitously
mark B scheme or M scheme to
advantage of candidate, but not a
mixture of both schemes
Question 7:
7 | 4x4
4x4y-3 or as final answer
y3 | 3
[3] | B1 each ‘term’;
or M1 for numerator = 64x15y3 and M1 for
denominator = 16x11y6 | B0 if obtained fortuitously
mark B scheme or M scheme to
advantage of candidate, but not a
mixture of both schemes
Simplify $\frac{(4x^5 y)^3}{(2xy^2) \times (8x^{10}y^4)}$. [3]

\hfill \mbox{\textit{OCR MEI C1  Q7 [3]}}