Question

-2i/2+6i
Write your answer as a complex number in standard form

Answer 1

Hi,

Explanation:

To simplify the expression

`(-2i)/(2+6i)`
we'll need to multiply the numerator and denominator by the conjugate of the denominator in order to eliminate the complex number from the denominator.

`(-2i)/(2+6i) \\=(-2i(2-6i))/((2+6i)(2-6i)) \\\\=(-2i(2-6i))/(4+36) \\\\=(-i(2-6i))/(20) \\\\=(-i(1-3i))/(10) \\\\\boxed{=-(3)/(10) -(i)/(10) }\\`