4400 Higher November 2009 Paper 3 Q25
25
(a) \((\sqrt{a})^7 = k\sqrt{a}\), where \(k = a^n\)
Find the value of \(n\). (2)
Find the value of \(n\). (2)
(b) Express \(\dfrac{1}{2\sqrt{2}}\) as a power of 2 (2)
| Scheme | Marks |
|---|---|
| \(a^{3.5} = k\,a^{0.5}\) or \(a^3\sqrt{a}\ (= k\sqrt{a})\) | M1 |
| \(n = 3\) | A1 |
| (2) |
Notes
M1: M1 for 3.5 and 0.5 seen or \((\sqrt{a})^6\) or \(a^3\)
| Scheme | Marks |
|---|---|
| \(2^{-1} \times 2^{-0.5}\) | M1 |
| \(2^{-1.5}\) | A1 |
| (2) | |
| (4 marks) |
Notes
M1: \(1/2^{1.5}\) or \(\sqrt{2}/4\) or \(2^{0.5}/2^2\) or \(2^{0.5} \times 2^{-2}\)