| Exam Board | OCR |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2009 |
| Session | June |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Express in form with given base |
| Difficulty | Easy -1.8 This is a straightforward indices question testing basic recall of index laws and powers. Part (i) requires recognizing 9 = 3², part (ii) is direct application of fractional indices (cube root = power 1/3), and part (iii) involves converting 9 to 3² then adding indices. All three parts are routine textbook exercises with no problem-solving element, making this easier than average. |
| Spec | 1.02a Indices: laws of indices for rational exponents |
3 Express each of the following in the form $3 ^ { n }$ :\\
(i) $\frac { 1 } { 9 }$,\\
(ii) $\sqrt [ 3 ] { 3 }$,\\
(iii) $3 ^ { 10 } \times 9 ^ { 15 }$.
\hfill \mbox{\textit{OCR C1 2009 Q3 [4]}}