Higher June 2025 Paper 2 Q15
15 Simplify fully \(\left(\dfrac{2a^3}{10a^7c^2}\right)^{-3}\)
(3)
| Scheme | Marks |
|---|---|
| \(125a^{12}c^6\) | B3 |
| (3) | |
| (3 marks) |
Notes
B3: for \(125a^{12}c^6\) oe
eg \(\dfrac{125a^{12}}{c^{-6}}\) or \(\dfrac{125c^6}{a^{-12}}\) or \(\dfrac{125}{a^{-12}c^{-6}}\) or \(\dfrac{a^{12}}{125^{-1}c^{-6}}\) or \(\dfrac{1}{125^{-1}a^{-12}c^{-6}}\) or \(\dfrac{a^{12}c^6}{125^{-1}}\)
B2 for 2 correct terms (Allow eg \(125a^{12}\) or \(125c^6\) or \(ka^{12}c^6\) as long as not added to any other terms)
B1 for one correct term (allow eg \(a^{12}\) or \(a^{-12}c^6\) or \(\dfrac{1}{125^{-1}}\) or \(\dfrac{1000a^{21}c^6}{8a^9}\) as long as not added to any other terms)