Question

Write the expression in standard form. (2 points) seven divided by quantity three minus fifteen i.

Answer 1

`\displaystyle (7)/(3-15i)=(7)/(78)+(35)/(78)i`

Explanation:

`\displaystyle (7)/(3-15i)\\\\(7)/(3-15i)*(3+15i)/(3+15i)\\\\(21+105i)/(9-225i^2)\\\\(21+105i)/(9+225)\\\\(21+105i)/(234)\\\\(21)/(234)+(105)/(234)i\\ \\(7)/(78)+(35)/(78)i`