Simplify the Expression 10[(1+i)(1-i)]^4

First, we simplify the expression inside the parentheses using the difference of squares formula:

(1+i)(1-i) = 1 - i^2 = 1 - (-1) = 2

Now we have:

10[(1+i)(1-i)]^4 = 10(2)^4 = 10(16) = 160

Therefore, 10[(1+i)(1-i)]^4 = 160.