Higher June 2019 Paper 2R Q14
14
(a) Simplify fully \((x^{12}y^8)^{\frac{3}{4}}\) (2)
Given that \(3^n = \dfrac{3^x}{9^y}\)
(b) find an expression for \(n\) in terms of \(x\) and \(y\). (2)
| Scheme | Marks |
|---|---|
| \(x^9y^6\) | B1B1 |
| (2) |
Notes
B1B1: Allow B1 if \((x^3y^2)^3\) or \((x^{36}y^{24})^{0.25}\) seen on answer line
| Scheme | Marks |
|---|---|
| \(3^n = \dfrac{3^x}{3^{2y}}\) | M1 |
| \(n = x - 2y\) | A1 |
| (2) | |
| (4 marks) |
Notes
M1: for a correct first step e.g. \(3^{2y}\) or \(3^{-2y}\)