0. Review of Algebra

In Exercises 55–78, use properties of rational exponents to simplify each expression. Assume that all variables represent positive numbers.x^½ ⋅ x^⅓

Evaluate each expression in Exercises 55–66, or indicate that the root is not a real number. ⁴√−16

In Exercises 45–66, divide and, if possible, simplify.______³√250x⁵y³³√2x³

Simplify each exponential expression in Exercises 23–64. (3x^4/y)^−3

In Exercises 39–64, rationalize each denominator.5-------⁴√x

In Exercises 55–78, use properties of rational exponents to simplify each expression. Assume that all variables represent positive numbers.x^⅘x^⅕

Use the rules for radicals to perform the indicated operations. Assume all variable expressions represent positive real numbers. - ∛5/8

Simplify the radical expressions in Exercises 58 - 62. 4∛16 + 5∛2

Simplify each expression. Write answers without negative exponents. Assume all vari-ables represent nonzero real numbers. See Examples 5 and 6. -4r^-2(r^4)^2

In Exercises 45–66, divide and, if possible, simplify.______⁵√96x¹²y¹¹⁵√3x²y⁻²

Simplify the radical expressions in Exercises 58 - 62. ∜(32x^5)/∜(16x) (Assume that x > 0.)

In Exercises 39–64, rationalize each denominator.10----------⁵√16x²

Use the rules for radicals to perform the indicated operations. Assume all variable expressions represent positive real numbers. ∜m/n⁴

Evaluate each expression in Exercises 55–66, or indicate that the root is not a real number. ⁵√(−3)^5

Simplify each exponential expression in Exercises 23–64. (3a^−5 b^2/12a^3 b^−4)^0