Question

Which one is greater ${100}^2\text{or}{2}^{100}$?

Answer 1

$Given$

$2^{100}and{100}^2$

${100}^2$ lies between ${\left(2^6\right)}^{2}to{\left(2^7\right)}^2$ or $2^{12}$ to $2^{14}.$

So we can see that

$2^{100}>2^{12}to{2}^{14}$

$So,2^{100}>{100}^2$.