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Chapter 8: Problem 47
Find each cube root. $$\sqrt[3]{64}$$
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Simplify by first writing the expression in radical form. If applicable, use a calculator to verify your answer. $$81^{-\frac{5}{4}}$$
In Exercises \(94-97,\) determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. $$\frac{3 \sqrt{x}}{x \sqrt{6}}=\frac{\sqrt{6 x}}{2 x} \text { for } x>0$$
Explain why \(a^{\bar{n}}\) is negative when \(n\) is odd and \(a\) is negative. What happens if \(n\) is even and \(a\) is negative? Why?
Determine whether each statement "makes sense" or "does not make sense" and explain your reasoning. When I use the definition for \(a^{\frac{m}{n}},\) I prefer to first raise \(a\) to the \(m\) power because smaller numbers are involved.
In Exercises \(75-82\), rationalize each denominator. Simplify, if possible $$\frac{2 x+4-2 h}{\sqrt{x+2-h}}$$
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