Write each expression without negative exponents, and evaluate if possible. Assume all variables represent nonzero real numbers. -a^-3

Multiply or divide as indicated. Write answers in lowest terms as needed. $6\frac{3}{4}÷\frac{3}{8}$

Multiply or divide, as indicated. (xz - xw + 2yz - 2yw)/(z² - w²) * (4z + 4w + xz + wx)/(16 - x²)

Find each product. See Examples 5 and 6.

$(a-6b{)}^2$

Multiply or divide, as indicated. ac + ad + bc + bd/a² - b² * a³ - b³/2a² + 2ab + 2b²

Simplify each expression. Write answers without negative exponents. Assume all variables represent nonzero real numbers. 4⁸/4⁶

Determine whether each statement is true or false. {x | x is a natural number less than 3}= {1, 2}

Find each product. (5r-3t²)²

Factor each trinomial, if possible. See Examples 3 and 4. $24a^4+10a^{3}b-4a^2{b}^2$

Use the rules for radicals to perform the indicated operations. Assume all variable expressions represent positive real numbers. √11 • √44

Find each sum or difference. -2 - |-4|

Multiply or divide as indicated. Write answers in lowest terms as needed. $2\frac{1}{2}÷1\frac{5}{7}$

Find each sum or difference. 16 - | -13|

Find each product. (2z⁴-3y)²

Factor each trinomial, if possible. See Examples 3 and 4. 9m² -12m+4

Find each product. [(2p-3)+q]²

Multiply or divide as indicated. Write answers in lowest terms as needed. $2\frac{5}{8}÷1\frac{15}{32}$

Let A = {2, 4, 6, 8, 10, 12}, B = {2, 4, 8, 10}, C = {4, 10, 12}, D = {2, 10}, andU = {2, 4, 6, 8, 10, 12, 14}. Determine whether each statement is true or false. A ⊆ U

Find each product or quotient where possible. -8(-5)

Simplify each expression. Write answers without negative exponents. Assume all variables represent nonzero real numbers. x¹²/x⁸

Use the rules for radicals to perform the indicated operations. Assume all variable expressions represent positive real numbers. ⁵√x² • ⁵√x³

Add or subtract, as indicated. 3/2k + 5/3k

Let A = {2, 4, 6, 8, 10, 12}, B = {2, 4, 8, 10}, C = {4, 10, 12}, D = {2, 10}, andU = {2, 4, 6, 8, 10, 12, 14}. Determine whether each statement is true or false. C ⊆ U

Find each product. [(4y-1)+z]²

Use the rules for radicals to perform the indicated operations. Assume all variable expressions represent positive real numbers. ∜ m² • ∜ m²

Factor each trinomial, if possible. See Examples 3 and 4. $32a^2+48ab+18b^2$

Find each product. [(3q+5)-p][(3q+5)+p]

Find each product or quotient where possible. 5(-7)

Simplify each expression. Write answers without negative exponents. Assume all variables represent nonzero real numbers. r⁷/r¹⁰

Add or subtract, as indicated. 1/6m + 2/5m + 4/m