Simplify 6i⋅(−4)i

Question

.(1 point)

Answer 1

To simplify \( 6i \cdot (-4)i \), we can follow these steps:

1. First, multiply the coefficients and the imaginary unit \(i\): \[ 6 \cdot (-4) \cdot i \cdot i = -24 \cdot i^2 \]

2. Recall that \( i^2 = -1 \). Therefore, we substitute \( i^2 \) with \(-1\): \[ -24 \cdot i^2 = -24 \cdot (-1) = 24 \]

So, the simplified result is: \[ \boxed{24} \]