Question

Which one is greater in each of the following?

(iii) $2^{10}$ or ${10}^2$

Answer 1

STEP 1 : Finding the value of the exponents

$2^{10}=2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2$

$2^{10}=1024$

${10}^2=10\times 10=100$

STEP 2 : Comparing the values of the exponents

It is clear from above that,

$1024>100$

$2^{10}>{10}^2$

Hence, $2^{10}$ is greater than ${10}^2$.