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

Answer

To express \( \frac{6}{-i} \) in the form \( b \) or \( bi \), where \( b \) is a real number, we can follow these steps:

### Step 1: Multiply by the Conjugate
To eliminate the imaginary unit in the denominator, we multiply the numerator and the denominator by \( i \):
\[ z = \frac{6}{-i} \times \frac{i}{i} = \frac{6i}{-i^2} \]

### Step 2: Simplify the Denominator
Recall that \( i^2 = -1 \). Therefore, we can simplify the denominator:
\[ z = \frac{6i}{-(-1)} = \frac{6i}{1} = 6i \]

### Step 3: Identify \( b \)
Now, we have expressed \( z \) in the form \( bi \), where \( b = 6 \).

Thus, the final result is:
\[ z = 6i \]
where \( b = 6 \).

---