1. Basic Terminology BASE EXPONENT means

2. IMPORTANT EXAMPLES

3. Variable Expressions

4. MULTIPLICATION PROPERTIES PRODUCT OF POWERS This property is used to combine 2 or more exponential expressions with the SAME base.

5. Write each product in expanded form, then rewrite in exponential form. 2 3. 2 4 X 5. X 12 10 2. 10 5 Generalize your result from above: a m. a n =

6. Write the numerator and denominator of each quotient in expanded form. Simplify by eliminating common factors, and then rewrite the remaining in exponential form. 4 5 /4 2 X 8 /x 6 (0.94) 15 / (0.94) 5 Generalize your result from above: a m /a n

7. Write each quotient in expanded form, simplify, and rewrite in exponential form. 2 3 /2 4 4 5 /4 7 X 3 /x 8 Generalize your result from above: 1/a n

8. So, what if the exponent is 0? 2 0 5 0 X 0 Generalize your result from above:

9. Write each product in expanded form, then rewrite in exponential form. X 5. X 12 10 2. 10 5 Generalize your result from above: a m. a n =

10. MULTIPLICATION PROPERTIES SUMMARY PRODUCT OF POWERS POWER TO A POWER POWER OF PRODUCT ADD THE EXPONENTS MULTIPLY THE EXPONENTS

11. ZERO AND NEGATIVE EXPONENTS ANYTHING TO THE ZERO POWER IS 1.