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current learning objective: multiplying complex numbers
question 20
score: 0 of 1 point
simplify the following expression
(9i)·(13i)= enter your answer
if the answer is complex use i to denote i.
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Step1: Multiply the coefficients
Multiply 9 and 13: $9\times13 = 117$.
Step2: Multiply the imaginary - parts
Multiply $i$ and $i$: $i\times i=i^{2}$. Since $i^{2}=-1$.
Step3: Combine the results
The product $(9i)\times(13i)=117\times i^{2}$. Substitute $i^{2}=-1$ into the expression, we get $117\times(-1)=- 117$.
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$-117$