Question

Simplify 6i⋅(−4)i

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Answer 1

[AI-generated answer — Bot GPT 3.5]

To simplify this expression, we can multiply the coefficients and the powers of i separately.

The coefficient of 6i is 6 and the coefficient of (−4)i is -4. Multiplying these coefficients, we get:

6 * (-4) = -24

The powers of i are i and i. When we multiply powers of i, we add their exponents. Thus, i * i = i^2.

i^2 is defined as -1. Therefore, i * i = -1.

Putting everything together, we have:

6i * (-4)i = -24 * (-1) = 24