0. Review of Algebra

Evaluate each expression. See Example 7. (-4)^1/2

In Exercises 79–112, use rational exponents to simplify each expression. If rational exponents appear after simplifying, write the answer in radical notation. Assume that all variables represent positive numbers.__⁸√x²

In Exercises 77–90, simplify each expression. Include absolute value bars where necessary.__⁴√y⁴

In Exercises 75–82, add or subtract terms whenever possible. ³√54xy^3−y³√128x

In Exercises 75–92, rationalize each denominator. Simplify, if possible.12------------√7 + √3

Simplify each radical. Assume all variables represent positive real numbers. ∛(16 (-2)⁴ (2)⁸)

Match each expression in Column I with its equivalent expression in Column II. See Example 8. a. (4/9)^3/2 b. (4/9)^-3/2 c. -(9/4)^3/2 d. -(9/4)^-3/2 A. 27/8 B. -27/8 C. 8/27 D. -8/27

In Exercises 79–112, use rational exponents to simplify each expression. If rational exponents appear after simplifying, write the answer in radical notation. Assume that all variables represent positive numbers.___³√8a⁶

In Exercises 77–90, simplify each expression. Include absolute value bars where necessary.____³√−8x³

In Exercises 75–92, rationalize each denominator. Simplify, if possible. √b----------√a - √b

In Exercises 75–82, add or subtract terms whenever possible. √3+³√15

Simplify each expression. Write answers without negative exponents. Assume all vari-ables represent positive real numbers. See Examples 8 and 9. 8^2/3

In Exercises 79–112, use rational exponents to simplify each expression. If rational exponents appear after simplifying, write the answer in radical notation. Assume that all variables represent positive numbers._____⁵√x¹⁰y¹⁵

In Exercises 77–90, simplify each expression. Include absolute value bars where necessary.____³√(−5)³

Simplify each radical. Assume all variables represent positive real numbers. √24m⁶n⁵