2 2 (/8+6i+/8–6i ) = 35 –i

Q: (b) Show that i³i is real, even though i or 3i is not.

A:

Q: 1. Express the sum of (2 - 3i) and (6 + 4i) divided by the sum of (4 + i) and (-5- 2i) in a + bi…

A: 1)  To find the value of           {(2-3i)+(6+4i)} / {(4+i)+(-5-2i)}

Q: 2. Express the product of (3 - 2i) and (1 + 5i) divided by the product of (5 + 2i) and (-4 - i) in a…

A: Given expression is 3-2i 1+5i5+2i -4-i. Simplify the above expression as follows.

Q: 7) What are the real and imaginary parts of (1+3i)exp(-ir/4)/(6+8i)?

A: The given complex number,        1+3iexp-iπ4/6+8i

Q: Find the principle root of 8/. (A) 8i = 3 +1 (C) V8i = 3 + 2/ (B) V8i = 23+1 (D) V8i = 2/3 +8i - %3D…

A:

Q: (8 – 3i)(-7 – 6i)

A:

Q: (1+i)·(10260°) (3–7i)+(9/120°) . Express your answer in rectangular form.

A:

Q: 4. (a) (i) Calculate (4 + 6i)².

A:

Q: е rear imaginary parts е compieх 9 – 10i -

A: SOLUTION-

Q: 3+4i Given that =5 find

A:

Q: س / إثبت أن : (/8+6i +/8–6i )² = 35 –i

A: The detailed solution is as follows below:

Q: Find the Sum (2 + 3i) + (3 + 4i)

A:

Q: 7+8i 4+5i 6–3i 8-4i

A:

Q: (3+ 5i) – (2– i) = T+6i O6i i 27 4i

A: First option is correct

Q: 18. Express the following in simplest form: (3+ 4i)?(3 – 4i)²

A:

Q: Find the sum or difference. (3 -4 i)- (5+5i)-(-5+ i) (3 -4 i)-(5+ 5 i )-(-5+i)= (Type your answer in…

A: Given expression is  3-4i-5+5i-(-5+i)

Q: ) What are the real and imaginary parts of (1+i)exp(-i/4)/W2? ) What are the real and imaginary…

A:

Q: 2+5i 2-5

A: Given: gx=x2+3x-4x2-4x+29 The roots of the polynomial gx can be obtained as,…

Q: Express in a + bi form. 7+i 3 2i

A:

Q: 8i – 7i+ 6i + 2(9+ i)

A: Given  8i-7i+6i+2(9+i)

Q: (8+4i)(8+4i)=

A: Given,(8+4i)(8+4i)now,(8+4i)(8+4i) = 8(8+4i)+4i(8+4i)

Q: 10+201 2 3+ 4i (10+5i)(16-201)

A:

Q: what Is the gimplest form of 5i (1-i) (2-i) (3-i) a. -10i -5/3 C. b. -8i d. -V½

A:

Q: AS: の4+o4i (3-i)(I-2i) (2+i)(1+2i)

A:

Q: 4. Simplify 3- 2i / 1+i into the form a + bi 5. If 2 - a – 5i / (1 – bi) = 3 – 5i, find a and b

A: By Bartleby policy I have to solve only first one as these 2 are unrelated problems.These are…

Q: Find the sum or difference. (3-4i)-(5+5i)-(-5+ i) (3-41)-(5 + 5 i) -(-5+ i)=Type your answer in the…

A: Given expression is (3-4i)-(5+5i)-(-5+i)

Q: Multiply. (8 + 4i)(3 + 9i) =O (Type your answer in the form a + bi.) (8 + 4i)(3 + 9i)

A: Given that (2+4i)(3+5i)

Q: How do I multiply (2+3i)(4+6i) and what is the answer in its simplest form

A:

Q: 5) (2i – 4) – (6i + 8) -

A:

Q: ☺ Inpolar form, evaluate; 2(3+4i). 3(-344i)

A: .

Q: 6+7i a. 8-i

A:

Q: (1 +i)(13 – 4i)(1 - i)

A: We have to simplify the given expression: 1+i13-4i1-i We know that a+ba-b=a2-b2i=-1i2=-1 Where, i is…

Q: 9. Find (2+31) A if A= [2-3i 5+8] -4 1-6-i 3-7i 5i

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

Q: 2.((6e0.924i)(4+7i)³ )6

A:

Q: 3 Simplify (2iv5) · i29 + (–2 – 3i)² – (V-8)(V-10). Show all work.

A:

Q: 4i/5+i

A: Given expression: 4i5+i rationalize the expression…

Q: The solution I recieved was marked incorrect. It says the correct answer is -8-8i√3. How did it get…

A: Previous expert used different values of thetha. That's what answer was incorrect. The correct…

Q: 6. (9 - 13i) + (17 + 2i) + (14 - 12i)

A:

Q: Solve the complex proportions 11/12 • 1 n+12 x+3 7 c+5 3 4 16 4 8 2/3

A: Authoring guidelines:…

Q: Simplify: 4+ 3i h) 5 – 2i 6 – 8i g) (3 – 2i)2 i) i

A:

Q: (131 +33i) / (4 - 3i)

A: The given complex number is:  131+33i4-3i

Q: (3+ 31)^5 = Show your solutions on a separate sheet of paper. (A) -972-972i B 853-853i (c)…

A: Find the power of the complex number (3+3i)5.

Q: ) What is the product? (3 + 4i)(3 – 4i)

A:

Q: Show that x = 2 + 3i is a solution to the equation x- 4x + 13 = 0.

A: Given:       Quadratic equation  x2-4x+13=0       x=2+3i    this is in the form of ax2+bx+c=0…

Q: What is the quotient when 4 -8i is divided by i3 A) 8+4i -8+4i 8-4i -8-4i

A: 4+8i is divided by i3=-i      4i-8-i)4+8i¯      4+0i_________             8i          -8i_________…

Q: How do you rewrite 5sin(3pi/4) * cos(7pi/4) as a sum or differnce?

A: Rewrite: 5sin3π4 · cos7π4 as sum or difference

Q: 10)–i (2i² – 5i)

A:

Q: 2. V16230° 3. In(-1 – i) 4. In(4i)

A: The rectangular form is z=a+ib

Q: 2.) Evaluate (3-4i)(2 + 5i) 10/60 + 20/-45

A:

Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus. 

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.