Objective SWBAT use properties of exponents involving products In your notebook, complete the “Investigating Algebra” Activity on page 488 in the text. Copy and complete both tables and then answer the Draw Conclusions problems #1-8. You will have 10 minutes to finish.

“Exponents and Exponential Functions” Chapter 8 “Exponents and Exponential Functions” (8.1) Exponents involving products (8.2) Exponents involving quotients (8.3) Zero and negative exponents (8.4) Scientific notation

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 GUIDED PRACTICE Evaluate the expression. 3. d4 when d = 1 3 1. x3 when x = 8 2. k3 when k = 2.5 SOLUTIONS 1. x3 = 83 2. k3 = 2.53 = 8 8 8 = (2.5)(2.5)(2.5) = 512 = 15.625 3. d4 = ( ) 1 3 4 = 1 3 = 1 81

Section 8.1, “Apply Exponent Properties Involving Products” (1) Product of Powers Property (2) Power of a Power Property (3) Power of a Product Property

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

Try It Out... (2) Power of a Power Property

Try It Out... (3) Power of a Product Property

Order of Magnitude the power of 10 nearest to the quantity **HINT** Think of the order of magnitude as rounding to the closest power of 10. There are about 91,000 species of insect in the United States. What is the order of magnitude of the amount of insects in the United States? The power of 10 closest to 91,000 is 100,000 or 10 to the 5th power.

Try It Out... Use All Three Properties Challenge