| Exam Board | SPS |
|---|---|
| Module | SPS SM (SPS SM) |
| Year | 2022 |
| Session | January |
| Marks | 4 |
| Topic | Indices and Surds |
| Type | Express in form with given base |
| Difficulty | Easy -1.8 This is a very straightforward indices and surds question with two routine parts: (a) rationalizing a simple denominator and (b) evaluating a negative fractional power. Both require only direct application of basic rules with minimal steps, making this significantly easier than average A-level questions. |
| Spec | 1.02a Indices: laws of indices for rational exponents1.02b Surds: manipulation and rationalising denominators |
1.
\begin{enumerate}[label=(\alph*)]
\item Express $\frac { 21 } { \sqrt { 7 } }$ in the form $k \sqrt { 7 }$.
\item Express $8 ^ { - \frac { 1 } { 3 } }$ as an exact fraction in its simplest form.
\end{enumerate}
\hfill \mbox{\textit{SPS SPS SM 2022 Q1 [4]}}