evaluate i-4 + 4i10 and express the answer as a simplified complex number.

Q: Simplify the complex number i .45 as much as possible.

A: See solution below

Q: Simplify the complex number and write it in standard form .−6i3 + i2

A: −6i3 + i2

Q: Write the complex number in standard form. -18 + V-50

A: (-1)1/2= i

Q: Write the complex number in polar form with argument 0 between 0 ánd 27. 7/3- 7i

A: Given complex number z=73-i 7 We can represent complex number z=x+iy into polar co-ordinates rcos…

Q: evaluate i16 (1+i4) and express the answer as a simplified complex number

A:

Q: perform the indicated operation and express the result as a simplified complex number (3+5i)(6i)

A: To multiply two complex numbers use the distributive property  and the equation        i2 = -1

Q: 32/-20° (b) (6 - j8)(4 + j2) 20 10+j24 -

A:

Q: Write the complex number (-1-i)0 in the form x+iy - 8 Ob. 16 -32 d. 32i

A: If z=x+iy is a complex number where x and y are real numbers then its polar form is written as the…

Q: perform the indicated operations and express the answers in the standard form of a complex number.…

A: 6-3i--2+5i

Q: Perform the indicated operation & simplify. Express the answer in terms of i (as a complex number).…

A:

Q: Simplify the complex number i .61 as much as possible.

A: We will use following relation to minimize the given complex number. i2=-1 and i4=i2×i2=-1×-1=1

Q: perform the indicated operation and express the result as a simplified complex number 1+9i/1-9i

A:

Q: Evaluate (3−4i)(8i) and express as a simplified complex number.

A: A complex number is of the form z = x + iy. where x is real part of z and y is imaginary part of z.…

Q: Perform the indicated operation & simplify. Express the answer in terms of i (as a complex number).…

A:

Q: Perform the indicated operation & simplify. Express the answer as a complex number. (11 – 12i)? =

A:

Q: Simplify the following complex expression into standard form. 3+6i1−i

A: First of all, consider the standard form of the complex number.Consider the given complex…

Q: Find the real and imaginary parts of the complex number.

A: We know that in complex number a+ib 'a' is the real part  'b' is the imaginary part -2-5i3 Divide…

Q: For the complex number 3  4i the real part is ,and the imaginary part is

A: Complex number: The complex number is 3+4i For any complex number a+ib the real part is a the…

Q: Perform the indicated operation and express the result as a simplified complex number. (5 + 7i) (4 –…

A: We have to simplify the following complex number -  (5+7i)(4-i)

Q: perform the indicated operations and express the answer in the standard form of a complex number.…

A: To perform the indicated operations and express the answer in the standard form of a complex number.…

Q: Given the complex numbers, find the roots of the ff: 1) ( -1 )^1/4 2) ( -1-i )^1/3 3) ( -i )^1/3

A:

Q: In the complex number system, what is the value of the expression 16i* – 8i? + 4 ? (Note: i = -1)

A: Substitute the value of i and simplify the results.

Q: perform the indicated operation and express the result as a simplified complex number 3+7i/i

A: To simplify the given problem. (3 +7i)/i

Q: Perform the indicated operation and express the result as a simplified complex number.  If y = 2x2…

A:

Q: Divide. -3+5i 5+6i Write your answer as a complex number in standard form.

A:

Q: perform the indicated operations and express the answers in the standard form of a complex number.…

A: To perform addition: (-7+3i)+(9-5i) Solution: (-7+3i)+(9-5i) On simplifying further we get:…

Q: Simplify the complex number i^51 as much as possible.

A: Consider i51, i51=i412i3=i412·i2·i It is known that i4=1. So, i51=112·i2·i=1·i2·i=i2·i

Q: For the complex number 3 + 4i, give (a) the absolute value; (b) the opposite; and(c) the conjugate.

A:

Q: what is the product of the complex number 3-4 and 8e53.13i

A: First convert 3-4i to magnitude and angle form then multiply to 2nd one. We get finally 40.

Q: Simplify the expression using complex numbers: (5+9i)+(−7−8i)

A:

Q: evaluate i-4 + 4i10 and express the answer as a simplified complex number.

A: To express the power as a simplified complex number.

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

A: See solution below

Q: perform the indicated operations and express the answers in the standard form of a complex number.…

A: Perform the indicated operations and express the answers in the standard form of a complex number.…

Q: (3+i)? 55. (1+2i)²

A:

Q: Simplify the complex number i 25 as much as possible. i

A: We use the fact  i2=-1

Q: Perform the indicated operation & simplify. Express the answer in terms of i (as a complex number).…

A: Given: √-3 ∙ √-12

Q: Simplify the complex number i .63 as much as possible.

A: To simplify the complex number i^(63) as much as possible.

Q: Write the complex number i+2 in the form of rel0

A: image is attached with detailed solution.

Q: Perform the indicated operation & simplify. Express the answer in terms of i (as a complex number).…

A: Given:

Q: -8i · (12 – i) = Your answer should be a complex number in the form a - where a and b are real…

A:

Q: Perform the indicated operation and express the result as a simplified complex number. (3 + 7i) (3 –…

A:

Q: – 5i·-3i =

A: The general form of a complex number is given by z=a+ib, where i=-1. If a=0, then the complex number…

Q: Simplify the complex number i^43 as much as possible.

A: To find the value of complex number  i43

Q: implify the complex number i .49 as much as possible.

A:

Q: 49 Simplify the complex number i" as much as possible.

A:

Q: Write a complex number where the real component is 7 and the imaginary component is −13i.

A: Z=x+iy be the complex number where x is real and iy is the imaginary part.

Q: Write the conjugate of the given complex number. -1 + 3i

A: Given query is to find the conjugate of the complex number.

Q: Perform the indicated operation & simplify. Express the answer as a complex number. (-7+ 6i)? =|

A: given,