Chapter 4.2, Problem 1OE

To determine

Simplify the expression $y^3\cdot y^2$ if the exponents of variables represent positive integers.

Answer to Problem 1OE

The simplified value of expression is $y^5$ .

Explanation of Solution

Given information: The given expression is $y^3\cdot y^2$ .

Calculation: Simplifying the expression $y^3\cdot y^2$ ,

  $\begin{array}{c}{y}^3\cdot y^2={\left(y\right)}^3\cdot {\left(y\right)}^2\\ ={\left(y\right)}^{3+2}\mathrm{....}\left({\left(x\right)}^m\cdot {\left(x\right)}^n={\left(x\right)}^{m+n}\right)\\ =y^5\end{array}$