Knowee
Questions
Features
Study Tools

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.

🧐 Not the exact question you are looking for?Go ask a question

Solution

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

Step 1: We know that (a-b)^4 = a^4 - 4a^3b + 6a^2b^2 - 4ab^3 + b^4.

Applying this formula, we get: (5-7i)^4 = 5^4 - 45^3(-7i) + 6*5

Similar Questions

Find the argument of the complex number minus, 5, plus, 4, i−5+4i in the interval 0, degrees, is less than or equal to, theta, is less than, 360, degrees0 ∘ ≤θ<360 ∘ , rounding to the nearest tenth of a degree if necessary.

Find the argument of the complex number minus, 7, plus, 7, i−7+7i in the interval 0, degrees, is less than or equal to, theta, is less than, 360, degrees0 ∘ ≤θ<360 ∘ , rounding to the nearest tenth of a degree if necessary.

Use DeMoivre's Theorem to calculate the following expression. Write the exact answer in the form found using Euler's Formula, |z|eiθ|𝑧|𝑒𝑖𝜃. Do not round. Make sure that the argument of your answer lies in the interval [0,2π)[0,2𝜋). [2(cos(π7)+isin(π7))]5

The polar form of complex number  5−3i4+i5−3𝑖4+𝑖 is (where i =  √–1–1)

Find the angle   (in radians) that   makes in the complex plane.Round your answer, if necessary, to the nearest thousandth. Express   between   and  .

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.