0. Review of Algebra

Rationalize each denominator. Assume all variables represent nonnegative numbers and that no denominators are 0. $\(\frac{\sqrt{7}\) - 1}{2\(\sqrt{7}\) + 4\(\sqrt{2}\)}$

Write each root using exponents and evaluate. ∛-125

Simplify each expression. Write answers without negative exponents. Assume all variables represent nonzero real numbers. 4a⁵(a^-1)³/(a^-2)^-2

Simplify each expression. Write answers without negative exponents. Assume all variables represent positive real numbers. (y^7/3)(y^-4/3)

Simplify by reducing the index of the radical. $\sqrt[9]{x^6{y}^3}$

Evaluate each expression in Exercises 1–12, or indicate that the root is not a real number. −√36

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

In Exercises 103–110, insert either <, >, or = in the shaded area to make a true statement. 8/13÷8/13 □ |−1|