91Ó°ÊÓ

In Exercises \(85-100,\) simplify each expression. $$i^{22}$$

Explain how to divide radical expressions with the same index.

In Exercises \(93-104\), rationalize each numerator. Simplify, if possible. $$\sqrt{\frac{5}{3}}$$

Explain why \(\sqrt{50}\) is not simplified. What do we mean when we say a radical expression is simplified?

Explain how to subtract complex numbers. Give an example.

Describe how to multiply conjugates.

When a radical expression has its denominator rationalized, we change the denominator so that it no longer contains any radicals. Doesn't this change the value of the radical expression? Explain.

Explain why \(a^{\frac{1}{n}}\) is negative when \(n\) is odd and \(a\) is negative. What happens if \(n\) is even and \(a\) is negative? Why?

How can you tell if an expression with rational exponents is simplified?

Exercises \(145-147\) show a number of simplifications, not all of which are correct. Enter the left side of each equation as \(y_{1}\) and the right side as \(y_{2} .\) Then use your graphing utility's \(|\) TABLE feature to determine if the simplification is correct. If it is not, correct the right side and use the \([\text { TABLE }]\) feature to verify your simplification. $$\left(x^{-\frac{1}{2}} \cdot x^{\frac{3}{4}}\right)^{-2}=x^{\frac{1}{2}}$$