Higher June 2021 Paper 2 Q14
14 Simplify fully \(\left(\dfrac{9x^4}{16y^{10}}\right)^{-\frac{1}{2}}\)
(3)
| Scheme | Marks |
|---|---|
| \(\dfrac{4y^5}{3x^2}\) | B3 |
| (3) | |
| (3 marks) |
Notes
B3: Accept \(\dfrac{4}{3}x^{-2}y^5\) or \(\dfrac{4x^{-2}y^5}{3}\) or \(1.\dot{3}x^{-2}y^5\) oe NB: Must see 4 and 3 and not \(16^{\frac{1}{2}}\) or \(9^{\frac{1}{2}}\) or \(16^{-\frac{1}{2}}\) or \(9^{-\frac{1}{2}}\) (allow use of 1.3[33..])
If not B3 then B2 for 2 of:
correct fraction (\(\dfrac{4}{3}\) or \(1.\dot{3}\)) (allow use of 1.3[33..]) or
\(x\) term correct (\(x^2\) on denominator or \(x^{-2}\) on numerator) or
\(y\) term correct (\(y^5\) on numerator or \(y^{-5}\) on denominator)
If not B2 then B1 for 1 of:
correct fraction or \(x\) term correct or \(y\) term correct
or
for one of
applying negative power to at least 3 out of 4 of 9, \(x^4\), 16, \(y^{10}\) or
applying square root to at least 3 out of 4 of 9, \(x^4\), 16, \(y^{10}\)
eg at least 3 of the 4 parts of \(\dfrac{16y^{10}}{9x^4}\) or \(\dfrac{16x^{-4}}{9y^{-10}}\) or \(\dfrac{\frac{1}{9}x^{-4}}{\frac{1}{16}y^{-10}}\) or \(\dfrac{3x^2}{4y^5}\) oe