Foundation November 2017 Paper 2 Q21
21 \(p^3 \times p^x = p^9\)
(a) Find the value of \(x\). (1)
\(\left(7^2\right)^y = 7^{10}\)
(b) Find the value of \(y\). (1)
\(100^a \times 1000^b\) can be written in the form \(10^w\)
(c) Show that \(w = 2a + 3b\) (2)
| Answer | Mark | Notes |
|---|---|---|
| 6 | B1 | cao |
| Answer | Mark | Notes |
|---|---|---|
| 5 | B1 | cao |
| Answer | Mark | Notes |
|---|---|---|
| Shown | M1 | for writing \(100^a\) or \(1000^b\) as a power of 10 (\(= 10^{2a}\) or \(10^{3b}\)) or \(10^{2a + 3b}\) or \(100 = 10^2\) and \(1000 = 10^3\) |
| C1 | for complete chain of reasoning leading to conclusion |