OCR C1 2009 January — Question 2 4 marks

Exam BoardOCR
ModuleC1 (Core Mathematics 1)
Year2009
SessionJanuary
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicIndices and Surds
TypeSimplify algebraic expressions with indices
DifficultyEasy -1.3 This is a straightforward indices manipulation question requiring only direct application of basic index laws (power of a power, multiplication/division of powers). Both parts are routine C1 exercises with no problem-solving element—students simply apply memorized rules mechanically. Slightly easier than the 25^{1/2} calibration example as it's purely algebraic manipulation without even numerical evaluation.
Spec1.02a Indices: laws of indices for rational exponents

2 Simplify
  1. \(( \sqrt [ 3 ] { x } ) ^ { 6 }\),
  2. \(\frac { 3 y ^ { 4 } \times ( 10 y ) ^ { 3 } } { 2 y ^ { 5 } }\).

2 Simplify\\
(i) $( \sqrt [ 3 ] { x } ) ^ { 6 }$,\\
(ii) $\frac { 3 y ^ { 4 } \times ( 10 y ) ^ { 3 } } { 2 y ^ { 5 } }$.

\hfill \mbox{\textit{OCR C1 2009 Q2 [4]}}