0. Review of Algebra

Perform the indicated operations. Assume all variables represent positive real numbers. √6(3 + √7)

In Exercises 85–116, simplify each exponential expression.(20a⁻³b⁴c⁵/-2a⁻⁵b⁻²c)⁻²

Perform the indicated operations. Assume all variables represent positive real numbers. 4√3(√7 - 2√11)

In Exercises 117–124, simplify each exponential expression.9y⁴/x⁻² + (x⁻¹/y²)⁻²

Perform the indicated operations. Assume all variables represent positive real numbers. (√2 + 3) (√2 - 3)

Make Sense? In Exercises 119–122, determine whether each statement makes sense or does not make sense, and explain your reasoning.____⁴√(−8)⁴ cannot be positive 8 because the power and the index cancel each other.

In Exercises 117–124, simplify each exponential expression.(3x⁴/y⁻⁴)⁻¹(2x/y²)³

Perform the indicated operations. Assume all variables represent positive real numbers. (∛11 - 1) (∛11² + ∛11 +1)

In Exercises 117–124, simplify each exponential expression.(-4x³y⁻⁵)⁻²(2x⁻⁸y⁻⁵)

___The domain of f(x) = ³√x−4 is [4, ∞).

In Exercises 117–124, simplify each exponential expression.(2x²y⁴)⁻¹(4xy³)⁻³ / (x²y)⁻⁵(x³y²)⁴

_If x=−2, then √x⁶ = x³.

Perform the indicated operations. Assume all variables represent positive real numbers. (3√2 + √3) (2√3 - √2)

Perform the indicated operations and/or simplify each expression. Assume all variables represent positive real numbers. 5/√2

Between which two consecutive integers is -√26? Do not use a calculator.