Chapter 4.2, Problem 11OE

To determine

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

Answer to Problem 11OE

The simplified value of expression is $r^{2k}$ .

Explanation of Solution

Given information: The given expression is $r^k\cdot r^k$ .

Calculation: Simplifying the expression $r^k\cdot r^k$ ,

  $\begin{array}{c}{r}^k\cdot r^k={\left(r\right)}^{k+k}\mathrm{....}\left\{{\left(x\right)}^a{\left(x\right)}^b={\left(x\right)}^{a+b}\right\}\\ =r^{2k}\end{array}$