The expression we have is:
![p^2+r^3](https://img.qammunity.org/2023/formulas/mathematics/college/9kolvtlpq1h8wmrrneiz5x1dmb0kteo17u.png)
And we need to evaluate this expression when
![\begin{gathered} p=2 \\ \text{and} \\ r=3 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/a08zkfoundr8nxsysyqpe07wgd2n74gt86.png)
The first step is to substitute our values into the expression:
![(2)^2+(3)^3](https://img.qammunity.org/2023/formulas/mathematics/college/bf33jf4mi4z9cmnyl64birbwqbmfzeyykc.png)
The next step is to solve the operations.
We have the following for the terms in the expression:
![\begin{gathered} (2)^2=2*2=4 \\ (3)^2=3*3=9 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/r80ox86sarj4bmq2v1n0i4cbfnvi2r0n8m.png)
So the expression becomes:
![(2)^2+(3)^3=4+9](https://img.qammunity.org/2023/formulas/mathematics/college/ewy865g0u45z8yeva0bqvse1f442n1l6b2.png)
Finally, add 4 and 9 to find the result:
![4+9=13](https://img.qammunity.org/2023/formulas/mathematics/college/fph6n2ybigz74mu7mjq8nh86sozw4uyhcj.png)
Answer: 13