Question
Which of the following is equal to the expression?
(3i)²
-9
-9i
9
9i
(3i)²
-9
-9i
9
9i
Answers
GPT-4o mini
To evaluate the expression \((3i)^2\), we can follow these steps:
1. Square the number:
\((3i)^2 = 3^2 \cdot i^2\).
2. Calculate \(3^2\):
\[ 3^2 = 9. \]
3. Use the property of \(i\), where \(i^2 = -1\):
\[(3i)^2 = 9 \cdot i^2 = 9 \cdot (-1) = -9.\]
Therefore, \((3i)^2\) is equal to \(-9\).
The answer is \(-9\).
1. Square the number:
\((3i)^2 = 3^2 \cdot i^2\).
2. Calculate \(3^2\):
\[ 3^2 = 9. \]
3. Use the property of \(i\), where \(i^2 = -1\):
\[(3i)^2 = 9 \cdot i^2 = 9 \cdot (-1) = -9.\]
Therefore, \((3i)^2\) is equal to \(-9\).
The answer is \(-9\).