exam Maths Puzzle Numerical Ability

(-j)^3 * (-j^9)^4 over (j^3)^5

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Determine the sum for the geometric series 1/2 - 1/3 + 2/9 - 4/27 +... I need to completely factor 100-x^2y^2 and I came up with (50-xy)(50+xy). Is this correct?