The expression we have is:
[tex]p^2+r^3[/tex]And we need to evaluate this expression when
[tex]\begin{gathered} p=2 \\ \text{and} \\ r=3 \end{gathered}[/tex]The first step is to substitute our values into the expression:
[tex](2)^2+(3)^3[/tex]The next step is to solve the operations.
We have the following for the terms in the expression:
[tex]\begin{gathered} (2)^2=2\times2=4 \\ (3)^2=3\times3=9 \end{gathered}[/tex]So the expression becomes:
[tex](2)^2+(3)^3=4+9[/tex]Finally, add 4 and 9 to find the result:
[tex]4+9=13[/tex]Answer: 13