Question
Perform the indicated operation & simplify. Express the answer in terms of i (as a complex number)
(2i)(-7i)=
(2i)(-7i)=
Answers
GPT-4o mini
To perform the multiplication \((2i)(-7i)\), follow these steps:
1. Multiply the coefficients: \(2 \times -7 = -14\).
2. Multiply the \(i\) terms: \(i \times i = i^2\).
Thus, we have:
\[
(2i)(-7i) = -14i^2
\]
Now, recall that \(i^2 = -1\). Substitute \(-1\) for \(i^2\):
\[
-14i^2 = -14(-1) = 14
\]
Therefore, the final result is:
\[
\boxed{14}
\]
1. Multiply the coefficients: \(2 \times -7 = -14\).
2. Multiply the \(i\) terms: \(i \times i = i^2\).
Thus, we have:
\[
(2i)(-7i) = -14i^2
\]
Now, recall that \(i^2 = -1\). Substitute \(-1\) for \(i^2\):
\[
-14i^2 = -14(-1) = 14
\]
Therefore, the final result is:
\[
\boxed{14}
\]