Find each product. Assume all variables represent positive real numbers. $-4k \left( k^{7/3} - 6k^{1/3} \right)$

Add or subtract as indicated. Write answers in lowest terms as needed. $4\frac{3}{4}-1\frac{2}{5}$

Factor each polynomial. See Examples 5 and 6. 8-a³

Simplify each complex fraction. [ 1/(x+1) - 1/x ] / (1/x)

Factor each polynomial. See Examples 5 and 6. 27-r³

Simplify each radical. Assume all variables represent positive real numbers. ∛250

Simplify each complex fraction. [ 1/(y+3) - 1/y ] / (1/y)

Factor each polynomial. See Examples 5 and 6. 125x³-27

Find each product or quotient where possible. -10/17 ÷ (-12/5)

Find each product. Assume all variables represent positive real numbers. (x+x^1/2)(x-x^1/2)

Evaluate each expression. 16^1/4

Determine whether each statement is true or false. {3, 5, 9, 10} ∩ ∅ = {3, 5, 9, 10}

Add or subtract as indicated. Write answers in lowest terms as needed. $8\frac{2}{9}-4\frac{2}{3}$

Simplify each complex fraction. [ 1 + 1/(1-b) ] / [ 1 - 1/(1+b) ]

Determine whether each statement is true or false. {3, 5, 9, 10} ∪ ∅ = {3, 5, 9, 10}

Add or subtract as indicated. Write answers in lowest terms as needed. $7\frac{5}{12}-4\frac{5}{6}$

Simplify each radical. Assume all variables represent positive real numbers. - ∜243

Simplify each complex fraction. [ 2 + 2/(1+x) ] / [ 2 - 2/(1-x) ]

Determine whether each statement is true or false. {1, 2, 4} ∪ {1, 2, 4} = {1, 2, 4}

Find each product or quotient where possible. $\frac{\frac{12}{13}}{-\frac{4}{3}}$

Evaluate each expression. (-64/27)^1/3

Simplify each complex fraction. [ 1/(a³+b³) ] / [ 1/(a² + 2ab + b²) ]

Simplify each radical. Assume all variables represent positive real numbers. -9 ⁵√243

Find each product. Assume all variables represent positive real numbers. (p^1/2-p^-1/2)(p^1/2+p^-1/2)

Find each product or quotient where possible. $\frac{\frac{7}{6}}{-\frac{2}{3}}$

Factor each polynomial. See Examples 5 and 6. $27z^9+64y^{12}$

Simplify each complex fraction. [ 1/(x³-y³) ] / [ 1/(x² -y²) ]

Evaluate each expression. (-4)^1/2

Perform each division. See Examples 7 and 8. (9y²+12y-5)/(3y)

Determine whether each statement is true or false. ∅ ∪ ∅ = ∅