91Ó°ÊÓ

Simplify each expression. See Examples 1 through 11. $$ 7^{2}-7^{0} $$

Match each expression on the left with its simplification on the right. Not all letters on the right must be used and a letter may be used more than once. $$ 10 y-6 y^{2}-y $$ A. 3y B. $$ 9 y-6 y^{2} $$ C. 10x D. $$ 25 x^{2} $$ E. $$ 10 x-6 $$ F. none of these

Simplify each expression. See Examples 1 through 11. $$ \left(\frac{3 y^{5}}{6 x^{4}}\right)^{3} $$

Evaluate each expression using exponential rules. Write each result in standard notation. See Example 7. $$ \frac{8 \times 10^{-1}}{16 \times 10^{5}} $$

Match each expression on the left with its simplification on the right. Not all letters on the right must be used and a letter may be used more than once. $$ 5 x+5 x $$ A. 3y B. $$ 9 y-6 y^{2} $$ C. 10x D. $$ 25 x^{2} $$ E. $$ 10 x-6 $$ F. none of these

Evaluate each expression using exponential rules. Write each result in standard notation. See Example 7. $$ \frac{25 \times 10^{-4}}{5 \times 10^{-9}} $$

Simplify each expression. See Examples 1 through 11. $$ \left(\frac{2 a b}{6 y z}\right)^{4} $$

Evaluate each expression using exponential rules. Write each result in standard notation. See Example 7. $$ \frac{1.4 \times 10^{-2}}{7 \times 10^{-8}} $$

Match each expression on the left with its simplification on the right. Not all letters on the right must be used and a letter may be used more than once. $$ (5 x-3)+(5 x-3) $$ A. 3y B. $$ 9 y-6 y^{2} $$ C. 10x D. $$ 25 x^{2} $$ E. $$ 10 x-6 $$ F. none of these

In your own words, describe the different methods that can be used to find the product: \((2 x-5)(3 x+1)\)