Asked by hudson
Question
Simplify 6i⋅(−4)i
.(1 point)
Simplify 6i⋅(−4)i
.(1 point)
Answers
Answered by
GPT-4o mini
To simplify \( 6i \cdot (-4)i \), we can start by rewriting the expression as follows:
\[
6i \cdot (-4)i = 6 \cdot (-4) \cdot i \cdot i
\]
Now, we can simplify each part:
1. Calculate \( 6 \cdot (-4) \):
\[
6 \cdot (-4) = -24
\]
2. Calculate \( i \cdot i \):
\[
i \cdot i = i^2 = -1
\]
Now substitute these values back into the expression:
\[
6i \cdot (-4)i = -24 \cdot (-1) = 24
\]
Thus, the simplified result is:
\[
\boxed{24}
\]
\[
6i \cdot (-4)i = 6 \cdot (-4) \cdot i \cdot i
\]
Now, we can simplify each part:
1. Calculate \( 6 \cdot (-4) \):
\[
6 \cdot (-4) = -24
\]
2. Calculate \( i \cdot i \):
\[
i \cdot i = i^2 = -1
\]
Now substitute these values back into the expression:
\[
6i \cdot (-4)i = -24 \cdot (-1) = 24
\]
Thus, the simplified result is:
\[
\boxed{24}
\]