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Chapter 0: Problem 28
Simplify each exponential expression. $$x^{11} \cdot x^{5}$$
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Evaluate each algebraic expression for the given value or values of the variable(s). $$x^{2}-3(x-y), \text { for } x=8 \text { and } y=2$$
Fill in each box to make the statement true. $$\sqrt{x}=5 x^{7}$$
Fill in each box to make the statement true. Place the correct symbol, \(>\) or \(<,\) in the shaded area between the given numbers. Do not use a calculator. Then check your result with a calculator. a. \(3^{\frac{1}{2}} 3^{\frac{1}{3}}\) b. \(\sqrt{7}+\sqrt{18} \quad \sqrt{7+18}\)
Factor and simplify each algebraic expression. $$(4 x-1)^{\frac{1}{2}}-\frac{1}{3}(4 x-1)^{\frac{3}{2}}$$
List all numbers from the given set that are a. natural numbers, b. whole numbers, c. integers, d. rational numbers, e. irrational numbers, f. real numbers. $$\left\\{-9,-\frac{4}{5}, 0,0.25, \sqrt{3}, 9.2, \sqrt{100}\right\\}$$
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