Higher June 2025 Paper 1 Q4
4 \(x^5 \times x^7 = x^m\)
(a) Find the value of \(m\) (1)
\(y^8 \div y^3 = y^n\)
(b) Find the value of \(n\) (1)
(c) Simplify fully \(\left(5a^4r^2\right)^3\) (2)
| Scheme | Marks |
|---|---|
| 12 | B1 |
| (1) |
Notes
B1: accept \(x^{12}\)
| Scheme | Marks |
|---|---|
| 5 | B1 |
| (1) |
Notes
B1: accept \(y^5\)
| Scheme | Marks |
|---|---|
| \(125a^{12}r^6\) | B2 |
| (2) | |
| (4 marks) |
Notes
B2: for \(125a^{12}r^6\)
(B1 for a product in the form \(ka^pr^q\) where 2 from \(k\), \(p\) or \(q\) are correct eg \(5a^{12}r^6\)
Allow \(125a^{12}\) or \(125r^6\) or \(a^{12}r^6\) so as long as not added to any other terms)