Answer
$1$
Work Step by Step
The lower limit of $j$ is $0$ and the upper limit is also $4$.
Thus, evaluate the given products from $j=0$ to $j=4$ to obtain:
$=(-1)^0 \cdot (-1) \cdot (-1)^2 \cdot (-1)^3 \cdot (-1)^4
\\=1 \cdot (-1) \cdot 1 \cdot (-1) \cdot 1$
Multiply two factors at a time to obtain:
$\\=-1 \cdot 1 \cdot (-1) \cdot 1
\\=-1 \cdot (-1) \cdot 1
\\=1 \cdot 1
\\=1$