Question

Write down the following expression in the exponential form :

$5\times a\times a\times b\times c\times c\times c$

Answer 1

Conversion of expression from product form to exponential form :

We have

$$\begin{gathered} 5\times a\times a\times b\times c\times c\times c=5\times \left(a\times a\right)\times b\times \left(c\times c\times c\right) \\ =5\times a^2\times b\times c^3 \\ =5a^{2}b{c}^3 \end{gathered}$$

Therefore, $5\times a\times a\times b\times c\times c\times c=5a^{2}b{c}^3$