4400 Higher November 2008 Paper 4 Q12

(a) \(a\), \(b\) and \(c\) are positive numbers such that \(1 \leqslant ab \lt 10\) and \(1 \leqslant c \lt 10\)\[(a \times 10^4) \times (b \times 10^7) = c \times 10^m\] (2)

(b) \(N = (3.2 \times 10^p) \times (4.5 \times 10^q)\), where \(p\) and \(q\) are integers.
Express \(N\) in terms of \(p\) and \(q\).
Give your answer in standard form. (2)