0. Review of Algebra

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

Simplify each expression. Write answers without negative exponents. Assume all vari-ables represent nonzero real numbers. See Examples 5 and 6. (5a^-1)^4(a^2)^-3

In Exercises 45–66, divide and, if possible, simplify._______³√x²+7x+12³√x+3

In Exercises 39–64, rationalize each denominator.3xy²-----------⁵√8xy³

In Exercises 61–82, multiply and simplify. Assume that all variables in a radicand represent positive real numbers and no radicands involve negative quantities raised to even powers.__ ___√8x ⋅ √10y

Simplify each expression. Write answers without negative exponents. Assume all vari-ables represent nonzero real numbers. See Examples 5 and 6. (p^-2)^0/5p^-4

In Exercises 59–76, find the indicated root, or state that the expression is not a real number.___⁴√−16

Evaluate each expression in Exercises 55–66, or indicate that the root is not a real number. ⁶√1/64

In Exercises 65–74, simplify each radical expression and then rationalize the denominator.25---------√5x²y

Simplify each expression. Write answers without negative exponents. Assume all vari-ables represent nonzero real numbers. See Examples 5 and 6. (3pq)q^2/6p^2q^4

In Exercises 59–76, find the indicated root, or state that the expression is not a real number.___⁵√−1

In Exercises 59–72, simplify each expression using the products-to-powers rule.(-3x⁻²)⁻³

Use the rules for radicals to perform the indicated operations. Assume all variable expressions represent positive real numbers. ∜∛2