Compute the following powers and give your answer in the form a+bi. Use the square root symbol '√' where needed to give an exact value for your answer. You may leave powers of real numbers in exponent form, e.g. ¹211¹. (√√3-i) ¹¹ = 0 1 1 √2/2 125 0

Q: Express the following number in exponential form -3-51 What is the exponential form of the given…

A: To given the exponential representation of complex number.

Q: Find the k=8 root of the 10th root of 1+i. Express the answer in rectangular form in 4 decimal…

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Q: Simplify the following con

A: Given,        -13+3i43

Q: (-3-15)(-1.23+/2.1)

A: The given problem is to find the principal value of the given complex number. Given complex number…

Q: Find the three cube roots of 1.

A:

Q: Determine all cube roots of -4. Express your answers in both exponential form and x + iy form.

A: In this question, we will find all the cube roots of -4.

Q: When writing the square root of a negative number in terms of i, we usually place iafter the…

A: Normally the i will be placed after the coefficient but not in the front of the radical. So avoid…

Q: Express the following complex number in exponential form: (47.3 – 10.91)

A: Any complex number, z=x+yi can be represented in the exponential form as z=reiθ , where, r=x2+y2 and…

Q: Find the following: (a) (-1-i)7. (b) Square roots of 4√3+4i.

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Q: √128x9y12217

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Q: Determine the general expression for the four roots of v3 – i

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Q: 3. Write the expression as a complex number in standard form.

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Q: show all the work please asap

A: Roots:            Polar form:…

Q: Express the following in the form a + bi, where a and b are real numbers: 60i-11

A: Introduction: Like a real number, the square roots of a complex number can also be determined. A…

Q: Multiply. (√-12) (√-3) (√-12) (√-3) = (Simplify your answer. Type an exact answer, using radicals as…

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Q: 4. Perform the following operations involving complex numbers: a. (2 + 7i) + (3 – 4i) b. (9 + 5i) -…

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Q: the answer is incorrect and does not even make sense because if you have pi in the numberator and…

A: Please see the below picture for detailed solution.

Q: The question asks: Simplify the expression, and eliminate any negative exponents. Assume that all…

A: Yes, you are right. We add the exponents because the bases are same.