Write each of the given numbers in the form a + bi : e3i - e-3i (a) 2i -0.2794 + 0 i, (b) 3e(3+4) + i, 2e (c) e i.

Q: If Z1=4+10i and Z2-11+19i, find the real part of the product Z1Z2 Give your answer as an integer.

A: See the details solution in below

Q: Perform the indicated operations and write the result in standard form : 3i(2 + i)

A: We first distribute 3i

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: Simplify the expression -i+ (7+ 8i) 2i(-6+2i) + - 1-i to the form a + y · i where a and y are real…

A: The given expression 2i-6+2i+-i+7+8i¯¯1-i. Simplify the expression 2i-6+2i+-i+7+8i¯¯1-i in standard…

Q: Simplify the expression to a + bi form: (-8 — 2:) + (8 — і)

A: (- 8 - 2i) + (8 - i) = (- 8 + 8) + (- 2i - i) = 0 + (- 3)i  So, a = 0 &, b = - 3

Q: (-5 + 3i) (-3 +6i)

A: To simplify the given expression.

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: Find the product and write the result in standard form: (5 - 2i)2

A:

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

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

Q: Perform the indicated operations and write the result in standard form : (3 - 4i)2

A: i=-1i2=-1

Q: Perform the indicated operation(s) and write the result in standard form. (2 - 3i)(1 - i) - (3 -…

A: Given 2-3i1-i-3-i3+i

Q: Multiply/Divide A. (4-2i)/(-2 -3i)

A: Multiply/Divide A. (4-2i)/(-2 -3i)

Q: Divide and express the result in standard form: (2 + 3i)/(2 + i)

A: The given expression is (2 + 3i)/(2 + i)

Q: Multiply and Simplify (5 + i) (4 - 7i)

A: simplify the expression.

Q: Simplify the expression to a + bi form: (-9 – 8i) – (–4+ 5i)

A: We will express this expression in the standard form of complex number a+ ib. We will add real and…

Q: Perform the indicated operations and write the result in standard form : 4i(3i - 2)

A: To write the given equation 4i(3i-2) -(i) in standard form.

Q: Divide and express the result in standard form: -6i/(3 + 2i)

A: Given: -6i3+2i

Q: Simplify (7 + 3i) 2 [(2 + i) 2 (3 - 4i)].

A: Given, (7+3i)2(2+i)2(3-4i)