Simplify each expression. Assume all variables represent nonzero real numbers. See Examples 1–3. (-5n^4/r^2)^3

If the expression is in exponential form, write it in radical form and evaluate if possible. If it is in radical form, write it in exponential form. Assume all variables represent posi-tive real numbers. (5r + 3t)^4/7

Use the quotient rule to simplify the expressions in Exercises 23–32. Assume that x > 0. √24x^4/√3x

If the expression is in exponential form, write it in radical form and evaluate if possible. If it is in radical form, write it in exponential form. Assume all variables represent posi-tive real numbers. ⁵√ k²

In Exercises 1–38, multiply as indicated. If possible, simplify any radical expressions that appear in the product.(4√3 + 3√2) (4√3 - 3√2)

In Exercises 29–44, simplify using the quotient rule._____³√11/64

Use the quotient rule to simplify the expressions in Exercises 23–32. Assume that x > 0. √500x^3/√10x^−1

In Exercises 1–38, solve each radical equation.(x - 2)¹/² + 8 = 6

Simplify each exponential expression in Exercises 23–64. (x^11)^5