Step The complete factorization of the second term along with the properties of exponents will allow us to write the second term as a perfect cube. We know that 6 ÷ 3 = so x6 = (x2)3. Express each term as a perfect cube. 27d³64 33d³ - 26 3³d³- = (3d) ³ - (1 ])²)³ 1²

Q: Simplify √9-√6 −8+ √6 by rationalizing the denominator.

A: leer R=9-6-8+6multiply top and bottom by -8-6R=9-6-8+6×-8-6-8-6

Q: i) Express in terms of i. V-96 .... V- 96 = %3D (Simplify your answer. Type an exact answer, using…

A:

Q: Multiply. (8-61)(7-81)

A: The given expression is- 8-6i7-8i Open the brackets as follows-…

Q: Simplify. (3zy³) (2ry")

A: Simple multiply both.

Q: Find the 4 fourth roots of -8+8i(square root of 3)

A: Let, z=-8+83i Since, nth root of any complex number w is defined as, wn=rncosθ+2kπn+isinθ+2kπn

Q: For 3 and 4 find a.) the GCF and b.) the LCM of each pair of expressions 3.) 108 and 198. 4.) 8x^5…

A: factor of 108=2x2x3x3x3 factor of 198=2x3x3x11 common factor are 2x3x3 therefore GCF is 18 LCM=…

Q: Select all the expressions that give the area of the figure in square units. (5+6)x (3+2) (8x6) C4)…

A: we have to write the area of the figure in square units.

Q: 3. Multiply 3-2i by its conjugate and write your answer in simplest form.

A: The conjugate of the complex number a-bi is a+bi and vice versa.

Q: 4.7i+6.13i+5.6

A: Step 1:given 4.7i+6.13i+5.6 Step 2: Add 4.7i+6.13i You get 4.7i+6.13i=10.83i   Step 3:Now 10.83i +…

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

A:

Q: simplify each complex fraction. (3 + 2/(n + 4))/(5 - 1/(n + 4))

A: Solution: Consider the complex fraction: 3+2n+45-1n+4 we have 3 + 2 = 5 5 -1 = 4 Then 3+2n+45-1n+4 =…

Q: Multiply the complex numbers and write the result in standard form. * (4+3i)(2-5i) 23-14i 8-15i…

A:

Q: How do I plot -7+i and 8-6i os it on the -7 and 8 since -6 is on th imaginary line

A: To plot these complex numbers, we need to draw a complex plane.Complex Plane: Here, X-axis is the…

Q: Imagine writing I- i(i + 2) (i - 1) · (i + 1) in extended form. What factor corresponds to i = 6?…

A:

Q: (-9 9-10i) (2-7i)

A: Simplification

Q: 2.2 Simplify the complex power ()-“ and leave your answer in its simplest form.

A: Given 1+i1-i-2i

Q: What is the conjugate of 3- 2/5?

A: conjugate is where we change the sign in the middle of two terms . So ,conjugate is 3+2√5

Q: Expand (3x? – 2y)5 and simplify.

A:

Q: Multiply the following monomials. Write answers in simplest form. (x')(x*) (x*)(-3x²) (3ху)(2х'y)

A: As per the company guidelines we can solve first three parts . I hope that the given solution will…

Q: (2-2i√3)4 Write the answer in standard form.

A:

Q: atebnu) drog temban 90X19 Perform the mathematical operation and express the answ standard form. 1.…

A:

Q: 27 1+1 Evaluate the expression (2i – 1)² Express the answer in rectangular form. 1+i,

A: The rectangular form of a complex number is z=x+iy. The conjugate of the complex number: z=x+iy is…

Q: Simplify the complex fraction 7m7n4/5m  /   4m2n8/5n2

A: Consider the given complex fraction

Q: How many complex roots has the equation x⁷ + x⁴ - x² - 3 = 0

A:

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

A:

Q: find (1+2i)^5/3 write your final answer in a+bi form

A: We have to express in terms of a+bi.

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: Use the laws of exponents to m-4/7)1/4 1) n-9/4 Multiply and simplify. Assur 2) रैजड 3.

A: given