Question

The sum of the exponents of the prime factors in the prime factorisation of 196 is:
(a) 1
(b) 2
(c) 4
(d) 6

Answer 1

$$\begin{gathered} \mathrm{The}\mathrm{prime}\mathrm{factorisation}\mathrm{of}196\mathrm{is}: \\ 196=2\times 2\times 7\times 7=2^2\times 7^2 \\ \mathrm{Sum}\mathrm{of}\mathrm{exponents}\mathrm{of}\mathrm{prime}\mathrm{factors}=2+2=4 \end{gathered}$$