Question

perform all operations. give your answer in \\(a + bi\\) form.

\\\frac{11}{7i}\\

Explanation:

Multiply numerator and denominator by the imaginary unit

$$ \frac{11}{7i} = \frac{11 \cdot i}{7i \cdot i} $$

Simplify the denominator using the definition of i squared

$$ 7i \cdot i = 7i^2 = 7(-1) = -7 $$

Write the final expression in standard complex form

$$ \frac{11i}{-7} = -\frac{11}{7}i = 0 - \frac{11}{7}i $$

Answer:

Perform all operations. Give your answer in \(a + bi\) form.

$$\frac{11}{7i}$$

<blank>\(0 - \frac{11}{7}i\)</blank>