Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. 4k^-1+k^-2

Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. 4t^-2+8t^-4

Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. 9z^-1/2+2z^1/2

Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. 6r^-2/3-5r^-5/3

Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. -4a^-2/5+16a^-7/5

Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. 2(3x+1)^-3/2+4(3x+1)^-1/2+6(3x+1)^1/2

Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. 4x(2x+3)^-5/9+6x²(2x+3)^4/9-8x³(2x+3)^13/9

Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. $6y^3(4y - 1)^{-3/7} - 8y^2(4y - 1)^{4/7} + 16y(4y - 1)^{11/7}$

Factor each polynomial over the set of rational number coefficients. 49x²-1/25

Factor each polynomial over the set of rational number coefficients. (25/9)x⁴-(9y²)

Find all values of b or c that will make the polynomial a perfect square trinomial. 4z²+bz+81

Find all values of b or c that will make the polynomial a perfect square trinomial. 100r²-60r+c

Find all values of b or c that will make the polynomial a perfect square trinomial. 49x²+70x+c

Perform the indicated operation, and write each answer in lowest terms. 2x/5 ∙ 10/x²

Perform the indicated operation, and write each answer in lowest terms. y³/8 ÷ y/4

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

Simplify each complex fraction. $\frac{m - \frac{1}{m^2 - 4}}{\frac{1}{m + 2}}$

Simplify each complex fraction. $\frac{\frac{3}{p^2 - 16} + p}{\frac{1}{p - 4}}$

Simplify each complex fraction. $\frac{\frac{6}{x^2 - 25} + x}{\frac{1}{x - 5}}$

Write 27^2/3 in radical form and evaluate.

Match the rational exponent expression in Column I with the equivalent radical expression in Column II. Assume that x is not 0. ( -3x )^1/3

Match the rational exponent expression in Column I with the equivalent radical expression in Column II. Assume that x is not 0. ( -3x )^-1/3

Match the rational exponent expression in Column I with the equivalent radical expression in Column II. Assume that x is not 0. ( 3x )^1/3

Match the rational exponent expression in Column I with the equivalent radical expression in Column II. Assume that x is not 0. 3x^1/3

Match the rational exponent expression in Column I with the equivalent radical expression in Column II. Assume that x is not 0. -3x^1/3

Match the rational exponent expression in Column I with the equivalent radical expression in Column II. Assume that x is not 0. -3x^-1/3

Match the rational exponent expression in Column I with the equivalent radical expression in Column II. Assume that x is not 0. 3x^-1/3

Perform the operation and/or simplify each of the following. Assume all variables represent positive real numbers. 3√xy - 8√xy

Perform the operation and/or simplify each of the following. Assume all variables represent positive real numbers. (2 + √3) (2 - √3)

Write each root using exponents and evaluate. ∛125