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simplify. 5i(-8) write your answer in the form a + bi.

Question

simplify.
5i(-8)
write your answer in the form a + bi.

Explanation:

Step1: Multiply the coefficients

Multiply 5 and -8. So, \(5\times(-8)= -40\).

Step2: Multiply with the imaginary unit

Now, multiply the result with \(i\). So, \(5i(-8)=-40i\). In the form \(a + bi\), \(a = 0\) and \(b=-40\), so it can be written as \(0-40i\) or simply \(-40i\) (which is equivalent to \(0 + (-40)i\)).

Answer:

\(0 - 40i\) (or \( -40i\))