1. Equations & Inequalities

In Exercises 37–52, perform the indicated operations and write the result in standard form. (- 3 - √-7)²

Write each complex number in standard form. (1 - i)³

Find each product and write the result in standard form. - 3i(7i - 5)

In Exercises 95–99, perform the indicated operations and write the result in standard form. (i⁸⁵ - i⁸³)/i⁴⁵

In Exercises 61–64, write each complex number in standard form. (1 + i)³

Write each complex number in standard form. (2 + 3i)³

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

In Exercises 21–28, divide and express the result in standard form. 5i/(2 - i)

Write each power of i as i, - 1, - i, or 1.

i¹¹⁴

Write each power of i as i, - 1, - i, or 1.

i⁴⁴

In Exercises 95–99, perform the indicated operations and write the result in standard form. 4/(2 + i)(3 - i)

Evaluate (x² + 19)/(2 - x) for x = 3i.

In Exercises 29–36, simplify and write the result in standard form. √(1² - 4 × 0.5 × 5)

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

Perform the indicated operations and write the result in standard form. (i⁹⁸ - i⁹⁴)/i⁴⁹