Higher June 2018 Paper 1 Q24
24
(a) Work out the value of \(\quad 2^{14} \div \left(2^9\right)^2\)
Give your answer as a fraction in its simplest form. [3 marks]
(b) Work out the value of \(\quad 25^{\frac{3}{2}}\) [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(\dfrac{1}{16}\) | B3 | B2 \(2^{-4}\) or \(\dfrac{1}{2^4}\) or \(4^{-2}\) or \(\dfrac{1}{4^2}\) or \(16^{-1}\) or \(0.5^4\) or \(\dfrac{16\,384}{262\,144}\) oe fraction B1 \(2^{18}\) or \(2^5 \div 2^9\) or \(\left(2^2\right)^{-2}\) or \(4^7 \div 4^9\) |
| Answer | Mark | Comments |
|---|---|---|
| \(25 \times 25^{\frac{1}{2}}\) or \(\left(25^{\frac{1}{2}}\right)^3\) or \(\left(25^3\right)^{\frac{1}{2}}\) or \(25\,(\times)\sqrt{25}\) or \(25 \times 5\) or \(5^3\) or \(\sqrt{25^3}\) or \(\left(\sqrt{25}\right)^3\) or \(\sqrt{15\,625}\) or \(15\,625^{\frac{1}{2}}\) or \(\sqrt{25 \times 25^2}\) or \(\sqrt{25 \times 625}\) | M1 | oe condone \(\pm\) on any \(\sqrt{\phantom{x}}\) |
| 125 | A1 |
Additional guidance
| \(\pm 125\) | M1A0 |