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= [(2^3)^-2 × 2^11 : (2^2)^3]^-2
= (2^-6 × 2^11 : 2^6)^-2
= [2^(-6 + 11 - 6)]^-2
= (2^-1)^-2
= 2^[(-1) × (-2)]
= 2^2
= 4
= ((2³)⁻² x 2¹¹ : (2²)³)⁻²
= (2⁻⁶ x 2¹¹ : 2⁶)⁻²
= (2⁻⁶ x 2¹¹ x 2⁻⁶)⁻²
= (2⁻¹)⁻²
= 2²
= 4