Evaluate (5−7i)4(5−7𝑖)4 and leave your answer in polar form with the angle in degrees and all numbers rounded to the nearest whole number.

Question

Evaluate (5−7i)4(5−7𝑖)4 and leave your answer in polar form with the angle in degrees and all numbers rounded to the nearest whole number.
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Solution 1

First, let's simplify the expression (5-7i)^4.

Step 1: Calculate the magnitude (r) and the angle (θ) of the complex number (5-7i). The magnitude r is given by √(a² + b²), where a and b are the real and imaginary parts of the complex number, respectively. So, r = √(5² + (-7)²) = √74 ≈ 9. The angle Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

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