4MA0 Higher June 2013 Paper 3R Q9
9
(a) Simplify, leaving your answers in index form,
(i) \(6^5 \times 6^2 \times 6\)
(ii) \((9^7)^2\)
(2)(b) \(\dfrac{5^n \times 5^3}{5^6} = 5^4\)
Find the value of \(n\). (2)
Find the value of \(n\). (2)
| Scheme | Marks |
|---|---|
| (i) \(6^8\) | B1 |
| (ii) \(9^{14}\) | B1 |
| (2) |
Notes
B1: (oe e.g. \(3^{28}\) ; \(81^7\))
| Scheme | Marks |
|---|---|
\(5^n \times 5^3 = 5^{10}\) or \(\dfrac{5^n}{5^6} = 5\) or \(\dfrac{5^n}{5^3} = 5^4\) or \(5^{n+3} = 5^{4+6}\) | M1 |
| 7 | A1 |
| (2) |
Notes
M1: or a correct equation in \(n\) eg. \(n + 3 = 10\) or \(n + 3 - 6 = 4\)
A1: SC B1 for an answer of \(5^7\)