Higher November 2021 Paper 3 Q24
24 \(a^b = 3 \qquad\) where \(a\) is an integer and \(b\) is a proper fraction.
Work out one possible pair of values of \(a\) and \(b\). [1 mark]
| Answer | Mark | Comments |
|---|---|---|
| Any correct pair of values | B1 | eg \(a = 9 \quad b =\) \(\dfrac{1}{2}\) \(a = 27 \quad b =\) \(\dfrac{1}{3}\) \(a = 81 \quad b =\) \(\dfrac{1}{4}\) |
Additional guidance
| \(a = 9 \quad b =\) \(\dfrac{1}{3}\) | B0 |
| \(a = 3 \quad b =\) \(\dfrac{1}{1}\) | B0 |
| \(a = 3 \quad b = 1\) | B0 |