Do Now 10/31/11 In your notebook on a new page, complete the activity on page 193 in the textbook. Fill in the 2 tables in the “Investigate” section. Then complete the “Draw Conclusions” questions 1-4.

Objective multiply and divide exponents

Section 4.5 “Rules of Exponents” Complete the activity on page 193 in the textbook. Fill in the 2 tables in the “Investigate” section. Then complete the “Draw Conclusions” questions 1-4. Can you think of the rules for exponents?

2 4 POWER two to the fourth power REVIEW an expression that represents repeated multiplication. 4 Product 2 EXPONENT Words two to the fourth power BASE

( ) REVIEW Evaluate the expression. 3. d4 when d = 1 3 1. x3 when x = 8 2. k² when k = 2.5 SOLUTIONS 1. x3 = 83 2. k² = 2.5² = 8 8 8 = (2.5)(2.5) = 512 = 6.25 3. d4 = ( ) 1 3 4 = 1 3 = 1 81

Multiplying Exponents To multiply two powers with the SAME base, add their exponents.

Evaluate the expressions. 1) 2) 3) 4)

Dividing Exponents To divide two powers with the SAME base, subtract their exponents (numerator minus denominator).

Evaluate the expressions. 1) 2) 3)

(1) Product of Powers Property Try It Out... (1) Product of Powers Property

Try It Out...