Questions: (6 i)(-4 i)

Transcript text: Ex. $(6 i)(-4 i)$

Solution

Step 1: Multiply the coefficients

Multiply the numerical coefficients $6$ and $-4$: \[ 6 \times (-4) = -24 \]

Step 2: Multiply the imaginary units

Multiply the imaginary units $i$ and $i$: \[ i \times i = i^2 \]

Step 3: Simplify $i^2$

Recall that $i^2 = -1$: \[ i^2 = -1 \]

Step 4: Combine the results

Multiply the results from Step 1 and Step 3: \[ -24 \times (-1) = 24 \]

$\boxed{24}$

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