Find the product. \[ \frac{5}{2} p\left(2-7 p+5 p^{3}\right) \] The product is $\square$. (Simplify your answer.)

Step 1 ：Define the variable p.

Step 2 ：Define the expression as \( \frac{5}{2} p\left(2-7 p+5 p^{3}\right) \).

Step 3 ：Simplify the expression using algebraic operations.

Step 4 ：The simplified expression is \( p\left(12.5 p^{3} - 17.5 p + 5.0\right) \).

Step 5 ：Final Answer: The product is \( \boxed{12.5p^{4} - 17.5p^{2} + 5.0p} \).