Higher November 2023 Paper 1 Q14
14 Work out the value of \(27^{\frac{2}{3}} + \left(\dfrac{1}{2}\right)^{-3}\) (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| 17 | M1 | for \(27^{\frac{2}{3}} = \left(\sqrt[3]{27}\right)^2\) or \(3^2\) or \(\sqrt[3]{27^2}\) or \(\sqrt[3]{729}\) or \(\left(\dfrac{1}{2}\right)^{-3} = \dfrac{1}{\left(\frac{1}{2}\right)^3}\) or \(2^3\) |
| M1 | for a full method eg \(\text{``}3\text{''}^2 + \text{``}2\text{''}^3\) or for correctly evaluating \(27^{\frac{2}{3}}\) or \(\left(\dfrac{1}{2}\right)^{-3}\) eg 9 or 8 seen | |
| A1 | cao |