Chapter 4.2, Problem 2WE

To determine

Simplify the expression $5r^2\cdot r^4$ if the exponents of variables represent positive integers.

Answer to Problem 2WE

The simplified value of expression is $5r^6$ .

Explanation of Solution

Given information: The given expression is $5r^2\cdot r^4$ .

Calculation: Simplifying the expression $5r^2\cdot r^4$ ,

  $\begin{array}{c}5r^2\cdot r^4=\left(5r^2\right)\cdot \left(r^4\right)\\ =5{\left(r\right)}^2\cdot {\left(r\right)}^4\\ =5{\left(r\right)}^{2+4}\mathrm{....}\left({\left(x\right)}^m\cdot {\left(x\right)}^n={\left(x\right)}^{m+n}\right)\\ =5r^6\end{array}$