CPM Homework Help : PC3 Problem 12-61

Plot each of the given complex numbers in parts (a) and (b) and state the modulus and argument of the number. Then use your answer from part (a) to complete part (c).

Hint (a) and (b):

Once you plot each of the numbers, create a right triangle with the $x$ -axis.
Then use the Pythagorean Theorem and the tangent ratio to determine the modulus and argument.
If you need more help, review the Math Notes box in Lesson 11.2.2.

$z=5-4i$

$w=-3+7i$

$\text{Evaluate } z^{2/3}.$
Hint (c):
$z^{2/3} = (z^2)^{1/3}$
First compute $z^{2}$ , then compute the third root of the result.