Simplify each expression. Write answers without negative exponents. Assume all vari-ables represent positive real numbers. See Examples 8 and 9. (z^1/3z^-2/3z^1/6)/(z^-1/6)^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.____√√x²y

In Exercises 85–116, simplify each exponential expression.-24a³b⁻⁵c⁵/-3a⁻⁶b⁻⁴c⁻⁷

Evaluate each expression for p=-4, q=8, and r=-10. 5r / 2p-3r

In Exercises 105–110, use an associative property to write an algebraic expression equivalent to each expression and simplify.4+(6+x)

In Exercises 103–110, insert either <, >, or = in the shaded area to make a true statement. 30/40−3/4 □ 14/15⋅15/14

In Exercises 107–114, simplify each exponential expression. Assume that variables represent nonzero real numbers. (x^−2 y)^−3/(x^2 y^−1)^3

Evaluate each expression for p=-4, q=8, and r=-10. q/2-r/3 / 3p/4+q/8

In Exercises 101–108, simplify by reducing the index of the radical. ⁹√x^6 y^3