Higher January 2021 Paper 2 Q11
11 Simplify fully \(\left(\dfrac{9t^4w^9}{18t^6w^{10}}\right)^{-2}\)
(3)
| Scheme | Marks |
|---|---|
| (definition of part: there are 3 parts: one part is the number, one part the letter \(t\) and one part the letter \(w\) Definition of terms: there are 6 terms: 2 number terms, 2 terms in \(t\) and 2 terms in \(w\)) | M1 indep |
| M1 indep | |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: \(4t^4w^2\) | A1 |
| (3) | |
| (3 marks) |
Notes
M1 indep: Fully correct cancellation of any two parts of their fraction at any stage of working
M1 indep: correctly apply the negative power to the whole of their bracket (all parts or all terms)
or
correctly square all parts or terms of their bracket
or
correctly apply the negative power AND square of at least two parts (maybe 4 terms) of their bracket
A1: Allow \((2t^2w)^2\) after the correct answer
| Scheme | Marks |
|---|---|
| M2 | |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: \(4t^4w^2\) | A1 |
Notes
M2: 2 correct terms (M1 for 1 correct term)
A1: Allow \((2t^2w)^2\) after the correct answer