Foundation November 2021 Paper 2 Q17
17
(a) Write down the value of \(m\), given that \(\;3^4 \times 3^5 = 3^m\) (1)
(b) Write down the value of \(n\), given that \(\;(5^3)^7 = 5^n\) (1)
(c) Find the value of \(p\), given that \(\;\dfrac{7^8 \times 7^2}{7^p} = 7^6\) (2)
| Scheme | Marks |
|---|---|
| 9 | B1 |
| (1) |
Notes
B1: allow \(3^9\)
| Scheme | Marks |
|---|---|
| 21 | B1 |
| (1) |
Notes
B1: allow \(5^{21}\)
| Scheme | Marks |
|---|---|
| \(8 + 2 - p = 6\) oe eg \(8 + 2 = 6 + p\) or \(7^{8+2-p} = 7^6\) oe | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 4 | A1 |
| (2) | |
| (4 marks) |
Notes
M1: (or embedded eg 8 + 2 = 10, 10 – 4 = 6)
A1: allow \(7^4\)