4MA0 Foundation June 2012 Paper 1 Q16
16
(a) Write \(2^3 \times 2^6\) as a single power of 2 (1)
(b) Write \(\dfrac{3^9}{3^4}\) as a single power of 3 (1)
(c) \[\frac{5^n}{5^4 \times 5^6} = 5^3\]Find the value of \(n\). (2)
| Scheme | Marks |
|---|---|
| \(2^9\) | B1 |
| (1) |
Notes
B1: cao
| Scheme | Marks |
|---|---|
| \(3^5\) | B1 |
| (1) |
Notes
B1: cao
| Scheme | Marks |
|---|---|
| \(5^{n-4-6} = 5^3\) oe or \(5^{n-10} = 5^3\) oe or \(n - 4 - 6 = 3\) oe or \(n - 10 = 3\) oe or \(5^n = 5^3 \times 5^{10}\) oe or \(5^n = 5^{3+10}\) or \(5^n = 5^{13}\) | M1 |
| 13 | A1 |
| (2) | |
| (Total 4 marks) |
Notes
M1: SC If M0, award B1 for an answer of \(5^{13}\)
A1: cao