Higher November 2019 Paper 1 Q19
19 Given that \(9^{-\frac{1}{2}} = 27^{\frac{1}{4}} \div 3^{x+1}\)
find the exact value of \(x\). (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| \(\dfrac{3}{4}\) oe | P1 | for a first step to converting to a common base with one correct conversion, eg. \(9^{-\frac{1}{2}} = 3^{-1}\) or \(\dfrac{1}{3}\) or \(27^{\frac{1}{4}} = 3^{\frac{3}{4}}\) oe |
| P1 | (dep) for \(3^{-1} = 3^{\frac{3}{4}} \div 3^{x+1}\) oe | |
| A1 | cao |
Additional guidance
\(9^{-\frac{1}{2}} = 3^{-1}\) (or \(\frac{1}{3}\)) oe or \(27^{\frac{1}{4}} = 3^{\frac{3}{4}}\) oe seen alone gets the P1