November 2021 Paper 2 Q7
7
(a) \(a\) is a value greater than 1
Work out the value of \(m\) for which \(\quad (a^m)^4 = (a^5)^{2m}\) [2 marks]
(b) \(w^3x^2y^5 = w^{13}x^7\)
Write \(y\) in terms of \(w\) and \(x\).
Give your answer in its simplest form. [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(a^{4m}\) or \(a^{10m}\) or \(4m = 10m\) | M1 | oe eg \(a^{4 \times m}\) |
| 0 | A1 |
Additional guidance
Allow \(a\) to be replaced by any value greater than 1
| Answer | Mark | Comments |
|---|---|---|
| \(w^{13}x^7 \div w^3x^2\) or \(w^{10}x^5\) or \(x^2y^5 = w^{10}x^7\) or \(y^5 = \dfrac{w^{10}x^7}{x^2}\) or \(w^3y^5 = w^{13}x^5\) or \(y^5 = \dfrac{w^{13}x^5}{w^3}\) | M1 | oe eg \(\dfrac{w^{13}x^7}{w^3x^2}\) may be embedded eg \(\sqrt[5]{w^{10}x^5}\) |
| \(w^2x^{(1)}\) | A1 | oe eg \(xw^2\) |
Additional guidance
| \(y = w^{10}x^5\) | M1A0 |