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Chapter 0: Problem 14
Evaluate each exponential expression. $$ 3^{3} \cdot 3^{2} $$
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Evaluate each expression. $$ \sqrt[3]{\sqrt{\sqrt{169}+\sqrt{9}}+\sqrt{\sqrt[3]{1000}+\sqrt[3]{216}}} $$
Exercises \(142-144\) will help you prepare for the material covered in the next section. Simplify and express the answer in descending powers of \(x\) : $$2 x\left(x^{2}+4 x+5\right)+3\left(x^{2}+4 x+5\right)$$
What does it mean to factor completely?
Describe what it means to rationalize a denominator. Use both \(\frac{1}{\sqrt{5}}\) and \(\frac{1}{5+\sqrt{5}}\) in your explanation.
Factor and simplify each algebraic expression. $$\left(x^{2}+3\right)^{-\frac{1}{3}}+\left(x^{2}+3\right)^{-\frac{1}{3}}$$
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