Question

Write $343$ in exponential form.

Answer 1

Write $343$ in exponential form.

The exponential form is a way of writing the repeated multiplication of numbers.

If a number $x$ is repeated $m$ times, the exponential form is,

$x\times x\times x\times ...\times x_{m\mathrm{times}}=x^m$

Prime factorization of $343$ is,

$\begin{array}{rcl}343& =& 7\times 7\times 7\\ & \Rightarrow & 343=7^3\end{array}$

Thus, the exponential form of $343$ is $7^3$.