Higher November 2023 Paper 1 Q26
26
(a) Work out the value of \(\quad \left(5\dfrac{1}{16}\right)^{\frac{1}{4}}\) [2 marks]
(b) Write \(\quad \left(49^m\right)^{2.5} \quad\) as a power of 7 in terms of \(m\). [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(\sqrt[4]{5\dfrac{1}{16}}\) or \(\left(5\dfrac{1}{16} =\right) \dfrac{81}{16}\) or \(\dfrac{81^{\frac{1}{4}}}{16^{\frac{1}{4}}}\) or \(\left(81^{\frac{1}{4}} =\right) 3\) or \(\left(16^{\frac{1}{4}} =\right) 2\) | M1 | oe eg \(\sqrt[4]{\dfrac{81}{16}}\) condone missing brackets |
| \(\dfrac{3}{2}\) or \(1\dfrac{1}{2}\) or 1.5 | A1 |
| Answer | Mark | Comments |
|---|---|---|
| \(\left(7^{2m}\right)^{2.5}\) or \(49^{2.5m}\) or \(\left(7^2\right)^{2.5m}\) | M1 | oe with base changed to 7 and/or brackets removed |
| \(7^{5m}\) | A1 |