Final answer:The expression (-2i)(8i) simplifies to 16, as we use the property that the square of the imaginary unit i is -1.Explanation:To simplify the expression (-2i)(8i), we must remember that 'i' is the imaginary unit, which is defined by the property that i2 = -1. Multiplying -2i by 8i gives us -2 * 8 * i2, which can further be simplified using the property of the imaginary unit.So, we have -2 * 8 * i2 = -16 * i2 = -16 * (-1) = 16. The negative sign is negated because i2 equals -1. Therefore, the expression simplifies to positive 16....

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