rationalize the denominator. Simplify. write final answers is standard form (a+bi).

(4-5i)/(2-7i)

(4-5i)/(2-7i)

= (4-5i)/(2-7i) *(2+7i)/(2+7i)
= (8 + 28i - 10i - 35i^2)/(4 - 49i^2)
= (43 + 18i)/53 or 43/53 + 18i/53