91Ó°ÊÓ

Reinforcement In each of Exercises \(1-6\) match the product with the correct result from the column on the right. Choices may be used more than once. $$ 3 x^{2} \cdot 2 x^{4} $$ a) \(6 x^{8}\) b) \(8 x^{6}\) c) \(6 x^{6}\) d) \(8 x^{8}\)

Concept Reinforcement Identify each statement as either true or false. FOIL is simply a memory device for finding the product of two binomials.

Match the description with the most appropriate algebraic expression from the column on the right. ____A polynomial with degree 5. a) \(8 x^{3}+\frac{2}{x^{2}}\) b) \(5 x^{4}+3 x^{3}-4 x+7\) c) \(\frac{3}{x}-6 x^{2}+9\) d) \(8 t-4 t^{5}\) e) 5 f) \(6 x^{2}+7 x^{4}-2 x^{3}\) g) \(4 t-2 t^{7}\) h) \(3 t^{2}+4 t+7\)

Match each expression with an equivalent expression from the column on the right. ______\(\left(\frac{x^{3}}{y^{2}}\right)^{-2}\) a) \(\frac{y^{6}}{x^{9}}\) b) \(\frac{x^{9}}{y^{6}}\) c) \(\frac{y^{4}}{x^{6}}\) d) \(\frac{x^{6}}{y^{4}}\)

Match the description with the most appropriate algebraic expression from the column on the right. ____An expression with two terms that is not a binomial a) \(8 x^{3}+\frac{2}{x^{2}}\) b) \(5 x^{4}+3 x^{3}-4 x+7\) c) \(\frac{3}{x}-6 x^{2}+9\) d) \(8 t-4 t^{5}\) e) 5 f) \(6 x^{2}+7 x^{4}-2 x^{3}\) g) \(4 t-2 t^{7}\) h) \(3 t^{2}+4 t+7\)

Add $$ (-8 t-5)+(-t-3) $$

Identify the base and the exponent in each expression. $$ (5 x)^{7} $$

Identify the base and the exponent in each expression. $$ \frac{4 y^{3}}{7} $$

Identify the base and the exponent in each expression. $$ -6 n^{0} $$

Express using positive exponents and, if possible, simplify. $$\frac{1}{2^{-6}}$$