Higher June 2024 Paper 6 Q16
16 Write \(\dfrac{9x^7 \times 2\sqrt{x}}{3x^4}\) in the form \(kx^m\). [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(6x^{3.5}\) nfww final answer | 4 | Mark coefficient and indices separately: B1 for 6 from \(\frac{9 \times 2}{3}\) AND B3 for \(x^{3.5}\) nfww | Accept equivalent fractions in place of decimal powers |
| or B2 for \(x^{7.5}\) from \(x^7 \times \sqrt{x}\) or for \(x^{-3.5}\) or \(\frac{1}{x^{3.5}}\) from \(\frac{\sqrt{x}}{x^4}\) or B1 for \(\sqrt{x} = x^{\frac{1}{2}}\) or \(x^{0.5}\) B1 for \(x^3\) from \(\frac{x^7}{x^4}\) | If attempting both \(\frac{x^7}{x^4}\) and \(\frac{\sqrt{x}}{x^4}\) mark to candidate’s benefit rather than choice | ||
Notes
(corrected from the printed mark scheme: the numerator of \(\frac{1}{x^{3.5}}\) is printed as an empty box)