Chapter 2.4, Problem 45E

There is also a special notation for products. The product of $a_m,a_{m+1},\mathrm{...},a_n$ is represented by ${\displaystyle \underset{j=m}{\overset{\hat{n}}{\prod }}{a}_j}$ , read as the product from $j=m$ to $j=n$ of $a_j$ .

What are the values of the following products?

   ${\displaystyle {\prod }_{i=0}^{10}i}$

   ${\displaystyle {\prod }_{i=5}^{8}i}$

   ${\displaystyle {\prod }_{i=1}^{100}{\left(-1\right)}^i}$

   ${\displaystyle {\prod }_{i=1}^{10}2}$