91Ó°ÊÓ

Use the product rule to simplify each expression. $$ (-5)^{7} \cdot(-5)^{6} $$

Multiply. \(3 x^{2} y\left(2 x^{3}-x^{2} y^{2}+8 y^{3}\right)\)

Simplify each expression. Write each result using positive exponents only. $$ \frac{x^{2} x^{5}}{x^{3}} $$

Subtract. $$ (5 x+8)-\left(-2 x^{2}-6 x+8\right) $$

Multiply. $$ \left(x^{2}+0.5\right)^{2} $$

The number of wireless telephone subscribers (in millions) \(x\) years after 1995 is given by the polynomial \(0.52 x^{2}+11.4 x+27.87\) for 1995 through 2008\. Use this model to predict the number of wireless telephone subscribers in \(2012(x=17)\) (Source: Based on data from Cellular Telecommunications \& Internet Association)

Find each quotient using long division. Don't forget to write the polynomials in descending order and fill in any missing terms. See Examples 6 through 8. $$ \frac{x^{2}-36}{x-6} $$

Use the product rule to simplify each expression. $$ \left(5 y^{4}\right)(3 y) $$

The penetration rate of American wireless telephone subscribers \(-\) that is, the percent of the population who have cell phones \(-x\) years after 1995 is given by \(0.1 x^{2}+4.4 x+10.7\) for 1995 through \(2008 .\) Assuming the same rate of growth, use this model to predict the penetration rate of wireless subscribers in the United States in \(2010(x=15) .\) (Source: Based on data from Cellular Telecommunications \& Internet Association)

Find each quotient using long division. Don't forget to write the polynomials in descending order and fill in any missing terms. See Examples 6 through 8. $$ \frac{a^{2}-49}{a-7} $$