0. Review of Algebra

Perform the indicated operations. Assume all variables represent positive real numbers. 5√6 + 2√10

In Exercises 85–116, simplify each exponential expression.(x⁻⁵y⁸/3)⁻⁴

In Exercises 107–114, simplify each exponential expression. Assume that variables represent nonzero real numbers. (2^−1x^−3y^−1)^−2(2x^−6y^4)^−2(9x^3y^−3)^0/(2x^−4y^−6)^2

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

Calculate each value mentally. (20^2/3)/(5^3/2)

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