Higher November 2024 Paper 1 Q10
10
(a) Work out \(25^{\frac{1}{2}} \times 8^{\frac{1}{3}}\) (2)
(b) Find the value of \(\left(\dfrac{1}{32}\right)^{\frac{3}{5}}\) (2)
| Answer | Mark | Mark scheme |
|---|---|---|
| 10 | M1 | for \(25^{\frac{1}{2}} = 5\) or \(8^{\frac{1}{3}} = 2\) |
| A1 | cao |
Additional guidance
Accept \(25^{\frac{1}{2}} = -5\) for M1 only
| Answer | Mark | Mark scheme |
|---|---|---|
| \(\dfrac{1}{8}\) | M1 | for \(\left(\dfrac{1}{\sqrt[5]{32}}\right)^3\) or \(\left(\dfrac{1}{2}\right)^3\) or \(\sqrt[5]{\dfrac{1}{32^3}}\) or \(\sqrt[5]{\dfrac{1}{32768}}\) |
| A1 | for \(\dfrac{1}{8}\) oe SCB1 for answer of 8 if M0 scored |