| Exam Board | Edexcel |
|---|---|
| Module | C12 (Core Mathematics 1 & 2) |
| Session | Specimen |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Simplify algebraic expressions with indices |
| Difficulty | Easy -1.5 This is a straightforward application of index laws requiring only recall of basic rules: $(a^m)^n = a^{mn}$ and negative/fractional indices. Both parts are routine calculations with no problem-solving element, typical of early Core 1 material testing fundamental algebraic manipulation. |
| Spec | 1.02a Indices: laws of indices for rational exponents |
Simplify fully
\begin{enumerate}[label=(\alph*)]
\item $\left( 25 x ^ { 4 } \right) ^ { \frac { 1 } { 2 } }$,
\item $\left( 25 x ^ { 4 } \right) ^ { - \frac { 3 } { 2 } }$.
\end{enumerate}
\hfill \mbox{\textit{Edexcel C12 Q1 [3]}}