객관식
Find the product of the given complex number and its conjugate.
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11. Roots, Radicals, and Complex Numbers
Multiplying and Dividing Complex Numbers
객관식
Evaluate the following powers of .
A
B
C
D
검증된 단계별 안내1
Recognize that the expression to evaluate is \(\left(3i\right)^4\), where \(i\) is the imaginary unit with the property \(i^2 = -1\).
Use the property of exponents to rewrite the expression as \(\left(3i\right)^4 = 3^4 \cdot i^4\).
Calculate \$3^4$ by multiplying 3 by itself four times: \(3 \times 3 \times 3 \times 3\).
Evaluate \(i^4\) by using the fact that \(i^2 = -1\), so \(i^4 = \left(i^2\right)^2 = (-1)^2\).
Multiply the results from steps 3 and 4 together to find the value of \(\left(3i\right)^4\).
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