When evaluated the following expression [(1+8i)^2][Conjg (5+3i)]^3 + [(3+4i)/i], the 4 decimal radian argument is equal to?

Q: Write each of the following in standard form.(a) (1 + 4i ) / (5 - 12i )(b) ( 2 - 3i ) / (4 - 3i)

A: a) Given that,  1+4i5-12i Simplification: 1+4i5-12i=1+4i5-12i×5+12i5+12i                Rationalize…

Q: Express the following numbers in rectangular form (real and imaginary). (a) 9 39°= +i (b) 20 -15° =…

A: Note:as per our answering guidelines we can solve only 1 question or 3 sub parts. So i solved 1st…

Q: Divide (3 - 4i)/(4 + 3i) and express the result in standard form.

A: Multiply by the conjugate of the denominator

Q: PWrite the following numbers in a + bi form: -1- 3i (a) 5 – i + i, | 4 -5 + (b) + i, 2i 4i (c)…

A: a Given expression is −1−3i5−i. We have to write the given expression in a+bi form. Rationalize the…

Q: Write 1/ (3 + 4i ) in standard form a + bi; that is, find the reciprocal of 3 + 4i.

A:

Q: 6cis (π/2)/ 12cis (π/8) Divide. Leave your answer in trigonometric form.

A:

Q: Express the following complex number in exponential form: (47.3 – 10.91)

A: Any complex number, z=x+yi can be represented in the exponential form as z=reiθ , where, r=x2+y2 and…

Q: Simplify the expression to a + bi form: (-6 – 9i)(-11 +7i)

A:

Q: From the list below find the expression equivalent to sin9x

A: see 2nd step

Q: Evaluate the expression 4 tan 360° + 5 csc 270°

A:

Q: Express the following expression in complex exponential form: v=20sin (1000t-30°)

A: To express the following expression in complex exponential form. v=20 sin1000t-30°

Q: Divide and express the result in standard form: (7 + 4i) / (2 - 5i).

A: 7+4i2-5i

Q: Express the following in the form a + bi, where a and b are real numbers: 60i-11

A: Introduction: Like a real number, the square roots of a complex number can also be determined. A…

Q: Simplify the expression to a + bi form: (5 + 2i)(8 + 8i)

A: (5+2i)(8+8i) = 24 + 56i  The detailed solution is as follows below

Q: |Write the following numbers in a + bi form: -2 – 5i (a) -1+ 2i + i, -1 -5 + 3i (b) i, 5i (c) (–5i)³…

A:

Q: Write the following numbers in a + bi form: -1 - 4i + i, -2 – 3i 1 -3 + i, 3i 4i =) (i)³ + i. +

A: Topic:- complex number algebra

Q: Simplify and express in standard form: 1-5i/1+5i

A:

Q: Write the expression in rectangular form, i.e., a+bi:   9(cos(90∘)+isin(90∘))=

A:

Q: Simplify the expression to a + bi form: (1+ 7i) + (4 – 10i) -

A: The given expression is 1+7i+4-10i.

Q: When 3+4i / 2+i is expressed in the form a + bi, what is the value of a?

A: