Question

Identify the greater number in each of the following: $2^{10}$ or ${10}^2$

Answer 1

Compare the given values

Given numbers are $2^{10}$ and ${10}^2$.

Expanding the numbers we get,

$$\begin{gathered} 2^{10}=2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2=1024 \\ {10}^2=10\times 10=100 \\ \Rightarrow 2^{10}>{10}^2 \end{gathered}$$

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