Question

Question 4(iv)
Identify the greater number, wherever possible, in each of the following:
(iv) ${100}^{2}or{2}^{100}$

Answer 1

(iv) ${100}^2=100\times 100=10,000$
$2^{100}=2\times 2\times 2\times 2\times 2\times \dots 14\times \dots \times 2$

= $16,384\times \dots \times 2$
Since, $10,000<16,384\times \dots \times 2$
Thus, $2^{100}$ is greater than ${100}^2$.