Rationalize the denominator: 7 + 5i/-7j
To rationalize the denominator, we want to eliminate the complex number in the denominator, which is -7j. To do this, we can multiply both the numerator and denominator by the conjugate of the denominator, which is 7j.
(7 + 5i)(7j) / (-7j)(7j)
Expanding the numerator, we get:
49j + 35ij
And expanding the denominator, we get:
49j^2
Since j is defined as the imaginary unit, j^2 can be replaced with -1:
49(-1)
Simplifying, we have:
-49
Therefore, the rationalized form of the fraction is:
(49j + 35ij) / (-49)