June 2016 Paper 2 Q7
7 Simplify fully \(\quad \left(\dfrac{2}{3}x^3y\right)^3\) [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(\dfrac{8}{27}x^9y^3\) or \(\dfrac{8x^9y^3}{27}\) | B2 | oe B1 Two of the three components correct and simplified |
Additional guidance
| Allow multiplication signs for B2 and B1 | |
| Allow \(0.\dot{2}9\dot{6}\) or \(0.\dot{2}\dot{9}\dot{6}\) as a correct component | |
| \(0.296x^9y^3\) | B1 |
| \(\dfrac{8}{27}x^9y^3\) followed by incorrect further work (only penalise B2 responses) | B1 |
| \(8x^9y^3 \div 27\) | B1 |
| \(\left(\dfrac{2}{3}\right)^3x^9y^3\) | B1 |
| \(\dfrac{8}{27}x^9\) | B1 |
| \(8x^9 \times 27y^3\) | B1 |
| \(\dfrac{8}{27}x^9 + y^3\) | B0 |