Question

write the quotient in the form a + bi.\\(\frac{7}{i}\\)\\(\frac{7}{i}=\square\\)(simplify your answer. type your answer in the form a + bi. use integers or fractions for any num

Explanation:

Step1: Multiply by conjugate of denominator

Multiply numerator and denominator by $i$:
$\frac{7}{i} \times \frac{i}{i} = \frac{7i}{i^2}$

Step2: Substitute $i^2 = -1$

Replace $i^2$ with $-1$:
$\frac{7i}{-1} = -7i$

Step3: Rewrite in $a+bi$ form

Express as real + imaginary part:
$0 + (-7)i$

Answer:

$0 - 7i$