Evaluate the expression 1 + 3 i/5 i and write the result in the form a + b i .

1 answer
Question:

Evaluate the expression 1 + 3 i/5 i and write the result in the form a + b i .

Answers

Answer:   [tex]\bold{\dfrac{3}{5}-\dfrac{1}{5}}i[/tex]Step-by-step explanation:Rationalize the denominator. Then separate into the a & b-components.[tex]\dfrac{1+3i}{5i}\bigg(\dfrac{i}{i}\bigg)\quad =\quad \dfrac{i+3i^2}{5i^2}\quad =\quad \dfrac{i+3(-1)}{5(-1)}\quad =\quad \dfrac{i-3}{-5}\quad =\quad \dfrac{3-i}{5}\\\\\\=\large\boxed{\dfrac{3}{5}-\dfrac{1}{5}i}[/tex]

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