(6^-2 + 3^-2) × (5/6)^-2
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Step-by-step explanation:
= (6^-2 + 3^-2) × (5/6)^-2
= (1/6^2 + 1/3^2) × (6/5)^2
= (1/6 + 1/3)^2 × (6/5)^2
By applying: (a+b)^2 = a^2 + 2ab + b^2
= (1/6)^2 + 2×1/6×1/3 + (1/3)^2 × (6/5)^2
= 1/36 + 1/9 + 1/9 × 36/25
= 1 + 4 + 4 × 36/25
36
= 9/36 × 36/25
= 9/25
= 0.36
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