QuestionFind $p$ in $x^{3} \cdot x^{2}=x^{p}$ and $r$ in $\left(x^{3}\right)^{2}=x^{r}$.

Studdy Solution
By comparing the two sides of the equation, we can see that the exponents must be equal for the equation to hold true. Therefore, $r=6$.
So, the solution to the problem is $p=5$ and $r=6$.