Questions: Evaluate (4-i)(0) and express as a simplified complex number.

Evaluate (4-i)(0) and express as a simplified complex number.
Transcript text: Evaluate $(4-i)(0)$ and express as a simplified complex number. $\square$
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Solution

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Solution Steps

To evaluate the expression (4−i)(0)(4-i)(0), we need to multiply the complex number 4−i4-i by 0. Any number, real or complex, multiplied by 0 is 0. Therefore, the result is simply 0.

Step 1: Identify the Expression

The expression given is (4−i)(0)(4-i)(0).

Step 2: Apply the Multiplication Property

According to the multiplication property, any number multiplied by 0 is 0. Therefore, we have: (4−i)×0=0 (4-i) \times 0 = 0

Final Answer

The simplified complex number is 0\boxed{0}.

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