Question

$2$ to the power of $10$ is _________.

Answer 1

Find the value of $2$ to the power of $10$

$2$ power$10$ can be expressed as $2^{10}$

This indicates $2$ is multiplied $10$ times

As per the power rule of exponents,

$a^{m+n}=a^m\times a^n$

Thus, $2^{10}$ can be written as $2^5\times 2^5.$

$$\begin{gathered} 2^{10}=2^5\times 2^5 \\ =32\times 32\left[\because 2^5=2\times 2\times 2\times 2\times 2=32\right] \\ \therefore 2^{10}=1024 \end{gathered}$$

$\therefore$The value of $2$ power$10$ is$1024$.