Edexcel C1 2007 June — Question 2 4 marks

Exam BoardEdexcel
ModuleC1 (Core Mathematics 1)
Year2007
SessionJune
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicIndices and Surds
TypeSimplify algebraic expressions with indices
DifficultyEasy -1.3 This is a straightforward C1 question testing basic index law recall with minimal steps. Part (a) requires simple evaluation of a fractional power (8^(4/3) = 16), and part (b) is routine simplification using the division rule for indices. Both parts are mechanical applications of standard rules with no problem-solving or conceptual challenge required.
Spec1.02a Indices: laws of indices for rational exponents

  1. Find the value of \(8 ^ { \frac { 4 } { 3 } }\).
  2. Simplify \(\frac { 15 x ^ { \frac { 4 } { 3 } } } { 3 x }\).

\begin{enumerate}[label=(\alph*)]
\item Find the value of $8 ^ { \frac { 4 } { 3 } }$.
\item Simplify $\frac { 15 x ^ { \frac { 4 } { 3 } } } { 3 x }$.
\end{enumerate}

\hfill \mbox{\textit{Edexcel C1 2007 Q2 [4]}}