Use DeMoivre's Theorem to find the indicated power of the following complex number. (-3+31)4

Q: Simplify the complex number i .45 as much as possible.

A: See solution below

Q: 2. Find the square roots of the complex number: Z=3+4√7 i

A: Square root of complex number

Q: 3 – 5i - Write as a complex number. In other 2+ 3i words, find real numbers a and b such that 3 – 5i…

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Q: Find all distinct roots (real or complex) of z+(-8+6i)z+(8-24i). Enter the roots as a…

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Q: Find the complex conjugates for each number below. Please note that the line above the number is the…

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Q: Use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in…

A: Demoivers theorem

Q: Evaluate In(-3).

A: Let us consider a complex number z then it is of the form a+ib where a is real part and b is…

Q: O Solve the eqution to Find the complex roots z. - Ofind the qubic roots of (-27 i) Hiw %3D Z=-し…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: 4. Possible roots (degree): Number of real roots: Number of complex roots:

A: Open and ends in opposite direction- odd degree

Q: find quotient 1/z for given complex number z=-sqrt 3 + i

A: The given complex number is z=-3+i. The conjugate of the given complex number is as follows. z=-3-i

Q: 1. Perform the indicated operation, your final answer should be written in the form a+bi, are real…

A: I have solved first part for other part repost question

Q: the complex number z =(2)sqrt2.(e3pi/4) is in eulers form. writing z in the form a+ib. what are the…

A: Given : z = 2√2 ei3π/4

Q: Find the argument of the complex number 3 + 17i - 9. 9T - 4 97 4

A: To find the argument of given complex number

Q: Use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in…

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Q: Find the imaginary part of 2 to the power i+3

A: 2i+3 = 23•2i = 8•2i  Now, 2i = ei•ln(2) = cos{ln(2)} + i•sin{ln(2)}

Q: Complex Numbers. Find, in the forn x + iv. showing the details: 16. (1 + i)12

A: Given complex number is 1 + i12

Q: 1. Write the complex number 2+ iv3 in the form of reio . (2 Marks)

A: Here we first find modulus and arg then convert this into polar form

Q: 1. Write the complex number 2 + iv3 in the form of rete

A: We have to solve given problem:

Q: The variable z is often used to denote a complex number and 7 is used to denote its conjugate. If z…

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Q: a

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