0. Review of Algebra

Simplify each expression. See Example 1. (-8t^3)(2t^6)(-5t^4)

Simplify each expression. Write answers without negative exponents. Assume all vari-ables represent nonzero real numbers. See Examples 5 and 6. 4^8/4^6

Simplify each expression. Write answers without negative exponents. Assume all vari-ables represent nonzero real numbers. See Examples 5 and 6. x^12/x^8

Simplify each expression. Write answers without negative exponents. Assume all vari-ables represent nonzero real numbers. See Examples 5 and 6. r^7/r^10

Write each expression without negative exponents, and evaluate if possible. Assume all variables represent nonzero real numbers. See Example 4. (-4)^-3

Simplify each expression. Write answers without negative exponents. Assume all vari-ables represent nonzero real numbers. See Examples 5 and 6. (5x)^-2(5x^3)^-3/(5^-2x^-3)^-3

Determine whether each statement is true or false. If false, correct the right side of the equation. 5^-2 = 1/5^2

Perform the indicated operation, and write each answer in lowest terms. 2x/5 * 10/x^2

Perform the indicated operation, and write each answer in lowest terms. y^3/8 ÷ y/4

Perform the indicated operation, and write each answer in lowest terms. 4/x-y - 9/x-y

Perform the indicated operation, and write each answer in lowest terms. 2x/5 + x/4

Find the domain of each rational expression. (x + 3) / (x - 6)

Find the domain of each rational expression. (2x - 4) / (x + 7)

Find the domain of each rational expression. (3x + 7) / (4x + 2)(x - 12)

Find the domain of each rational expression. 12/ (x2 + 5x + 6)