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Express each of the following in the for...

Express each of the following in the form b or bi, where b is a real number
`(x)/(i)`

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To express the given complex number \(\frac{x}{i}\) in the form \(b\) or \(bi\), where \(b\) is a real number, we can follow these steps: ### Step 1: Multiply and Divide by \(i\) We start by multiplying and dividing the expression by \(i\) (the imaginary unit). This is a common technique to eliminate the imaginary unit from the denominator. \[ \frac{x}{i} \cdot \frac{i}{i} = \frac{xi}{i^2} \] ### Step 2: Simplify \(i^2\) Recall that \(i^2 = -1\). Therefore, we can substitute \(-1\) for \(i^2\): \[ \frac{xi}{i^2} = \frac{xi}{-1} = -xi \] ### Step 3: Express in the Form \(bi\) Now, we can express \(-xi\) in the form \(bi\), where \(b\) is a real number. Here, \(b = -x\). Thus, we have: \[ \frac{x}{i} = -xi \] ### Final Result The expression \(\frac{x}{i}\) in the form \(bi\) is: \[ -xi \]
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