| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Evaluate numerical powers |
| Difficulty | Easy -1.8 This is a straightforward recall question testing basic index laws with no problem-solving required. It's slightly easier than the calibration example of 25^{1/2} and 25^{-3/2} since 81 is a perfect fourth power (3^4), making all three parts very routine calculations for A-level students. |
| Spec | 1.02a Indices: laws of indices for rational exponents |
Question 3:
M1 Award 1 mark for correct method
A1 Award 1 mark for correct answer
B1 Award 1 mark for correct statement
DM1 Award 1 mark for dependent methodFind the value of
\begin{enumerate}[label=(\alph*)]
\item $81 ^ { \frac { 1 } { 2 } }$,
\item $81 ^ { \frac { 3 } { 4 } }$,
\item $81 ^ { - \frac { 3 } { 4 } }$.
\end{enumerate}
\hfill \mbox{\textit{Edexcel C1 Q3 [4]}}