Show complete and orderly solutions. Enclose final answers. 1.Express each in terms of i: (√32 + √-128) a. 4 3√√-8+√-8 b. 2 2. Perform the following operations: a. (-1 + i)8 1+i b. - 3-i 3. Express in Polar/Trigonometric Form: a.7 - 5i b.√2-i√2 4.Express in Rectangular Form: a.6(cos180° + i sin180°) b.3(cos232° + i sin232⁰)

Q: Express each ratio as a single cor (a) (23.5 + j8.55)/(4.53 – j211) (6) (21.2– j21.2)/(3.54 – 3.54)…

A: Given : (a)  2.35-j8.554.53-j2.11 (b)  21.2-j21.23.54-j3.54 (c)  -7.07-j7.074.92-j.868 Here

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A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

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A: We have to find argument.

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A: Given query is to find the a+bi form.

Q: B. Find the indicated powers of the given complex number. Express the result in polar form, then…

A: We have to find   -3 + 3i31  and express this result in polar and rectangular form.

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A: The complex conjugate of the complex number a+bi is a-bi

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Q: 5. V-5· V-20 6. (6+j7) – 10 cjs 30° + 10e/0.752 + 5Z–25° 7. (3+j4) + 5 cjs 45° + 5 2-45° = 6-jx +r Z…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: II. Solve for the reciprocal of the following complex numbers. 1 а.-j16 8+j2 C.-2-j16

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Q: Simplify the complex number i 35 as much as possible.

A: See solution below

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Q: Q1. Check which of the complex no. is closer to the origin.. a. Z₁ = 1 + 2i b. Z₂ = 3 - 4i

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Q: a = 2i + 3j - k, b = -4i + 5k |

A: Given: a=2i+3j-kb=-4i+5k

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