1. Equations & Inequalities

In Exercises 9–20, find each product and write the result in standard form. (- 5 + 4i)(3 + i)

Identify each number as real, complex, pure imaginary, or nonreal com-plex. (More than one of these descriptions will apply.) -6 -2i

Perform each operation. Write answers in standard form. (6-i) + (7-2i)

In Exercises 21–28, divide and express the result in standard form. 2/(3 - i)

Write each number as the product of a real number and i. -√-18

In Exercises 29–36, simplify and write the result in standard form. √-49

Simplify each power of i. i^11

Find each product or quotient. Simplify the answers. √-6 * √-2 / √3

In Exercises 37–52, perform the indicated operations and write the result in standard form. (- 2 + √-4)^2

Find each sum or difference. Write answers in standard form. (-3+2i) - (-4+2i)

In Exercises 53–60, write each power of i as as i, - 1, - i, or 1. i^31

In Exercises 48–57, perform the indicated operations and write the result in standard form. √ (-32) - √ (-18)

Find each product. Write answers in standard form. (2+i)²

In Exercises 61–64, write each complex number in standard form. (2 + 3i)^3

Find each product. Write answers in standard form. 3i(2-i)²

Evaluate x^2 - 2x + 2 for x = 1 + i.

Find each quotient. Write answers in standard form. 2 / 3i

Simplify each power of i. i^-13

In Exercises 95–99, perform the indicated operations and write the result in standard form. (i^98 - i^94)/i^49