Higher November 2018 Unit 1 Q6
6.
(a) Circle the correct answer for each of the following statements.
(i) \(\left(\sqrt{7}\right)^4\) is equal to [1]
\(\sqrt{28}\) 28 \(\sqrt{14}\) 14 49
(ii) \(12^0\) is equal to [1]
0 1 1·2 12 120
(iii) \(\sqrt{3^2 \times 5^2}\) is equal to [1]
\(35^2\) \(15^2\) 15 35 \(15^4\)
(iv) \(3^{-4}\) is equal to [1]
\(-12\) \(\dfrac{1}{81}\) \(-81\) \(\dfrac{1}{12}\) \(\dfrac{3}{4}\)
(b) \(4 \times 2^{28}\) can be written as \(2^n\).
What is the value of \(n\)? [2]
What is the value of \(n\)? [2]
\(n =\) ………………………
| Scheme | Marks | Comments |
|---|---|---|
| (i) 49 | B1 | |
| (ii) 1 | B1 | |
| (iii) 15 | B1 | |
| (iv) \(\dfrac{1}{81}\) | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| (\(n\) =) 30 | B2 | Allow for an answer of \(2^{30}\). B1 for sight of \(2^2 \times 2^{28}\) or \(2 \times 2 \times 2^{28}\). |