Question

Q8) Express each of the following as product of powers of prime factors:
(a) 81 ×128 (b) 256 × 121

Answer 1

$$\begin{gathered} \left(\mathrm{a}\right).81\times 128 \\ =\left(3\times 3\times 3\times 3\right)\times \left(2\times 2\times 2\times 2\times 2\times 2\times 2\right) \\ =3^4\times 2^7 \\ \left(\mathrm{b}\right). \\ 256\times 121 \\ =\left(2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\right)\times \left(11\times 11\right) \\ =2^8\times {11}^2 \end{gathered}$$