exam Maths Puzzle Numerical Ability

((2x)^-1)^-2/2(y^-1)^-2

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exam Other Question

Compute this product, I'm not sure what section of algebra this falls under and the parenthesis cover all the numbers
[0 -3 1]
5 -1 0 [1 2]
0 1
1 -1
Please help me figure out how to do linear programming. My problem is :
maximize:x + 2y
constraints:x >/= 0
y >/= 0
x + 2y</=4
2x + y</=4