rationalize the denominator: 7+5i/-7i
To rationalize the denominator of the expression (7 + 5i) / (-7i), multiply the numerator and denominator by the conjugate of the denominator, which is (7i):
(7 + 5i) / (-7i) * (7i / 7i) = (49i + 35i^2) / (-49i^2)
= (35 - 49i) / 49
= -7/5 + i/7
Therefore, the rationalized form of the expression is -7/5 + i/7.