Question

Identify the greater number in the following numbers:
${100}^2$ or $2^{100}$

Answer 1

${100}^2=100\times 100=10,000$
$2^{100}=2\times 2\times ..............2=2^{14}\times 2^{86}=16384\times 2^{86}$

Since, $10000<16384$
Therefore, $10,000<16384\times 2^{86}$
Thus, $2^{100}$ is greater than ${100}^2$.