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

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

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)