OCR MEI C1 2012 January — Question 2 5 marks

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Year2012
SessionJanuary
Marks5
PaperDownload PDF ↗
TopicIndices and Surds
TypeSimplify algebraic expressions with indices
DifficultyEasy -1.3 This is a straightforward C1 question testing basic index law recall and manipulation. Part (i) requires simple evaluation of a negative fractional power, and part (ii) involves routine application of index laws to simplify an algebraic fraction. Both parts are standard textbook exercises with no problem-solving or conceptual challenge beyond remembering the rules.
Spec1.02a Indices: laws of indices for rational exponents

2
  1. Evaluate \(9 ^ { - \frac { 1 } { 2 } }\).
  2. Simplify \(\frac { \left( 4 x ^ { 4 } \right) ^ { 3 } y ^ { 2 } } { 2 x ^ { 2 } y ^ { 5 } }\).

2 (i) Evaluate $9 ^ { - \frac { 1 } { 2 } }$.\\
(ii) Simplify $\frac { \left( 4 x ^ { 4 } \right) ^ { 3 } y ^ { 2 } } { 2 x ^ { 2 } y ^ { 5 } }$.

\hfill \mbox{\textit{OCR MEI C1 2012 Q2 [5]}}