4400 Higher November 2008 Paper 4 Q18
18
(a) Find the value of \(\left(9^{\frac{1}{2}}\right)^4\) (1)
(b) Express \(5^{20}\) as a power of 25 (2)
(c) Express \(\sqrt{8}\) as a power of 2 (2)
| Scheme | Marks |
|---|---|
| 81 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(25 = 5^2\) or \(5 = 25^{0.5}\) or \(0.5 \times 20\) oe | M1 |
| \(25^{10}\) | A1 |
| (2) |
Notes
M1: not \(5 \times 5\)
| Scheme | Marks |
|---|---|
\(2^3\) or \(8^{1/3}\) or \(8^{0.5}\) or \((\sqrt{2})^3\) or \(\sqrt{(2^3)}\) or \(2^{1/2} \times 2^{1/2} \times 2^{1/2}\) or \(3 \times 0.5\) | M1 |
| \(2^{1.5}\) oe | A1 |
| (2) | |
| (5 marks) |
Notes
M1: must involve power(s)
not \(2\sqrt{2}\) not \(\sqrt{2} \times \sqrt{2} \times \sqrt{2}\)