Question
Which of the following is equal to the expression?
(3i)²
(3i)²
Answers
GPT-4o mini
To evaluate the expression \( (3i)^2 \), we can use the property of exponents:
\[
(3i)^2 = 3^2 \cdot i^2
\]
Now we calculate each part:
1. \( 3^2 = 9 \)
2. \( i^2 = -1 \) (since \( i \) is the imaginary unit)
Now, putting it all together:
\[
(3i)^2 = 9 \cdot (-1) = -9
\]
Thus, the expression \( (3i)^2 \) is equal to \(-9\).
\[
(3i)^2 = 3^2 \cdot i^2
\]
Now we calculate each part:
1. \( 3^2 = 9 \)
2. \( i^2 = -1 \) (since \( i \) is the imaginary unit)
Now, putting it all together:
\[
(3i)^2 = 9 \cdot (-1) = -9
\]
Thus, the expression \( (3i)^2 \) is equal to \(-9\).