0. Review of Algebra

Perform the indicated operations and/or simplify each expression. Assume all variables represent positive real numbers. ∛(8/x⁴)

Evaluate each exponential expression in Exercises 1–22. 4⁻³

Write each expression without negative exponents, and evaluate if possible. Assume all variables represent nonzero real numbers. (4x)^-2

Perform the operation and/or simplify each of the following. Assume all variables represent positive real numbers. (2 + √3) (2 - √3)

Concept Check: By what number should the numerator and denominator of $\frac{1}{\text{∛}3-\text{∛}5}$ be multiplied in order to rationalize the denominator? Write this fraction with a rationalized denominator.

Simplify each expression. Write answers without negative exponents. Assume all variables represent positive real numbers. (z^3/4)/(z^5/4)(z^-2)

Rationalize each denominator. Assume all variables represent nonnegative numbers and that no denominators are 0. $\(\frac{3m}{2 + \sqrt{m + n}\)}$

Evaluate each expression. 16^1/4