book Maths Puzzle Numerical Ability

simplify: (-2) to third power a) -6 b) 6 c) 8 d) -8

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book Other Question

i have a pentadecogram with a perimeter of 200 inches what is the diameter Solve by Factoring:

x^2-9x=-20
x^2-9x+20=0
x^2-4x-5x+20=0
x(x-4)+(-5)(x-4)=0
(x-5)(x-4)=0
(x-5) or (x-4)
x=5 or x=4
Is this Correct? Thank you