| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Express in form with given base |
| Difficulty | Easy -1.2 This is a straightforward C1 indices question requiring basic manipulation of powers and surds. Part (a) involves expressing given values as powers of 2 using standard index laws (√2 = 2^(1/2)), which is routine recall. Part (b) is a simple application of the subtraction law of indices. The question is easier than average as it requires only direct application of memorized rules with no problem-solving or insight needed. |
| Spec | 1.02a Indices: laws of indices for rational exponents |
Given that $2^x = \frac{1}{\sqrt{2}}$ and $2^y = 4\sqrt{2}$,
\begin{enumerate}[label=(\alph*)]
\item find the exact value of $x$ and the exact value of $y$,
[3]
\item calculate the exact value of $2^{y-x}$.
[2]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C1 Q2 [5]}}