Compute and simplify so that only positive exponents remain. (-4a-764c) ÷ (2a°b6)

Q: Evaluate (-2 +2i )5

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Q: 1. Simplify each expression but rationalizing the denominator. 2 a. 2i+3 b. i+4 (3i + 1)(i – 2) i-3…

A: Solution:To rationalize the denominator Formula:i2=-1(a+ib)(a-ib)=a2+b2

Q: The imaginary number i has the property that i2  .

A: I am assuming your question to be "The imaginary number i has the property that i2=". Since we know…

Q: If a = 3t and b -4 +3i, then find the value of a²b in fully simplified form.

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Q: Simplify: 5 – 5i - 2i

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Q: If a = 2x -5i and b: 5x, then find the value of ab in fully simplified form.

A: Given,          a=2x-5i and b=5x

Q: Find the nature of the roots

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Q: Write the Complex num ber 603 in the Simplest form

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Q: Divide: (1 + 4i)/(- 5 + 5i) Write your answer in a + bi form

A: solve the following

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

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Q: Solve the equation. If there is more than one solution, separate them with a comma. 16−|x|=8…

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Q: Factor each expression completely. (a) 3x2 – 13x + 4 | (b) 3 cos2 0 – 13 cos 0 + 4

A: (a) part  Consider the given expression  3 x2-13 x+4 Then, 3 x2-13 x+4=3 x2-x-12 x+4=3 x2-x-12…

Q: Solve the equation. If there is more than one solution, separate them with a comma. |4x – 6| = 26…

A: Given : 4x-6 = 26

Q: Find the cosine of 2S. R 6. 10

A: Consider the given figure as

Q: Solve the given equation for x. 32x-x²-3-8 (Use a comma to separate answers.) X=

A: Given query is to find the values of x

Q: 1. Detemine, whether and-5 are roots of the equation 10a –5 = 2a3 - a?.

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Q: Find FOUr FOUsth roots -1+ 9i

A: Given: -1+9i To Find: All four fourth roots of -1+9i

Q: 5-e and Determine the lowest common denominator for the pair 18e 4e3

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Q: Which of the following is the principal square root of - 4?(a) - 2i  (b) 2i  (c) - 2  (d) 2

A: The given number is -4. If N is a positive real number, then the principal square root of -N,…

Q: 10)

A: Explanation of the answer is as follows

Q: Find the three roots of 8.

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Q: If a = 5i and b =-3x, then find the value of a b in fully simplified form.

A: Ques : Given that a=5i and b = -3x we have find a2b in simplified form

Q: Find the three third roots of 4

A: Explanation: Given that,  π4 Need to find the three third roots or cube roots.

Q: Simplify: 3 + 21 + 4i + 6

A: We need to simplify 3+2i+4i+6. So,           3+2i+4i+6        =3+6+2i+4i        =9+6i

Q: Simplify. Write your answer in rectangular form. 5) (-4 + 4i)

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Q: Find the square of the imaginary number. 11. 3i 12. iV5 13.

A: We know that (i)2=-1

Q: Simplify and write as a + bi 4. a) V-50 b) (1 + 2i)(-6- i)

A: (a) Simplify and write the given expression as a+ib as follows.

Q: If a + ß and o² = 5a - 3 and ² = 53-3, find the equation whose roots are alß and B/a.

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Q: 13. Find the roots of the equation x+9x+ 18-0. A. 3 or 6 B. 3 or-6 C.-3 or 6 D.-3 or -6

A: As per guidelines, We’ll answer the first question since the exact one wasn’t specified. Please…

Q: State the possible number of imaginary roots for the polynomi 9) 5x'-3x-25x + 15 = 0 В) 2 or 0 А) 4,…

A: “Since you have posted a question with multiple Questions, we will solve the first question for you.…

Q: Find the roots: x3 = 2 - 3i

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Q: Factor each expression completely.   a. 2x2 -7x + 3 b. 2 cos2 u - 7 cos u + 3

A: (a) Consider an expression: 2x2-7x+3……1

Q: Find the roots: x5 = 4i

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Q: Simplify -3j 1234567+ 4j98765432 – 5j-32198765 + 6. What is the imaginary part of the result? O 2

A: Given: -3j1234567+4j98765432-5j-32198765+6

Q: 9 + V-4 %3D 3

A: →Complex number can be written as a+bi  :  Where a is real part and…

Q: Q1/ Find the four forth roots of (-16).

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Q: (a) Simplify i*+1 in real and imaginary parts.

A: As there are two questions given ,i only do the first.

Q: Solve the equation below. Separate multiple solution with a comma. 22 = 50

A: Apply square root on both sides of the given equation and solve to get the answer.

Q: solve and prove sum and products of the roots x?+xt10 2.

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Q: Assume the variables are positive. Simplify leaving your answer in radical form. 5/36m2n11 6m/4n1 |

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Q: Q 3: (Choose one) (1)Find the three cube roots of 1?

A: "Since you have posted multiple questions, we will solve first one for you. To get remaining solved…

Q: a) (2+4i)*

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Q: If a # B and o² = 5a - 3 and ß² = 5ß - 3, find the equation whose roots are alß and pla.

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Q: The imaginary number i has the property that i2 =              .

A: It is given that The imaginary number i has the property that i2 = ______ .

Q: 7. (x – 3)² = -12 Write the expression as a cor

A: Since you have asked multiple question, we will solve the first  question for you as per our guide…

Q: divide: 3-2i/-7-4i. Write your answer in a+bi form

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Q: Use the triangle shown to the right to evaluate the following expression. If necessary, express the…

A: Given A triangle is shown below

Q: + arctan(2x-1) dr. 4x2 –4x+2 2 Evaluate | 2/3 (Hint: complete the square in the denominator before…

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Q: Factor each expression completely. (a)     2x2 − 11x + 5

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