Foundation January 2022 Paper 2R Q23
23
(a) Write down the value of \(x^0\) (1)
Given that \(2^{-3} \times 2^9 = 2^n\)
(b) find the value of \(n\) (1)
Given that \(\dfrac{7^{206} \times 7^m}{7^{214}} = 7^{-3}\)
(c) find the value of \(m\) (2)
| Scheme | Marks |
|---|---|
| 1 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| 6 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
\(206 + m - 214 = -3\) oe or \(\dfrac{7^{-3} \times 7^{214}}{7^{206}}\) or \(\dfrac{7^{211}}{7^{206}}\) oe | M1 |
| 5 | A1 |
| (2) | |
| (4 marks) |
Notes
M1: allow \(7^{206 + m - 214} = 7^{-3}\) oe (must be in the form \(7^x = 7^y\) where \(x\) and \(y\) are correct expressions)
A1: accept \(7^5\)