1. Exponents and Powers 6 3 is a power. What does it mean? 6 is the __________ 3 is the _____________ Write the expressions in exponential form 3 squared x to the fourth power s cubed

2. When asked to evaluate a power, it means "solve" through substitution and multiplication until you get the expression into simplest form Example x 4 when x=2 is 2*2*2*2 =16 BE CAREFUL FOR GROUPING SYMBOLS! Follow Order of Operations by doing the operations in the parenthesis before you apply the power

3. These two problems really are different!!!! 1 2 + 3 2 = 1*1 +3*3 = 1 + 9 = 10 (1+3) 2 = (4) 2 = 4*4 = 16 Now it is your turn! If s = 2 and t = 4 evaluate 1)(t-s) 3 2) t 2 -s 2 3) s 2 + t 2 4)(s+t) 2 5) t-s 2 6) (t-s 2 ) 2

4. One more caution: Exponents only are applied to the object directly in front of it!!!!!!!! These two problems are different! 2x 3 is 2*x*x*x (2x) 3 is 2*2*2*x*x*x or 8x 3

5. Now it is your turn 2x 2 when x = 7 6t 4 when t = 2 7b 2 when b = 3 (5w) 3 when w = 2 (4x) 2 when x = 3 (d) 2 – d when d = 5

6. Powers in real life Area of square is calculated by side times side or side squared (s 2 ) Volume of a cube is found by side times side times side which is side cubed (s 3 ) So, find the area of the floor that measures 8 feet by 8 feet. If the room is also 8 feet tall, how many cubic feet of air is in the room?

7. Wrap it up Do page 12 Problems 1-12 even then Summarize 3-2-1 3 things that are important to know about exponents 2 terms that are used when talking about exponents 1 example of a common mistake that may be made when applying exponents