1. Warm Up  Write the number in scientific notation.  1.) 37,200,000,000  2.) 0.000000000065

2. 7.3 Multiplying Powers with the Same Base

3. Objective  Multiply powers with the same base.

4. Multiplying Powers with the Same Base  To multiply powers with the same base, add the exponents.  Ex: 4 3 * 4 5 = 4 3+5 = 4 8

5. Example 1 – Multiplying Powers  What is each expression written as a single power?  A.) 9 5 * 9 3  B.) (-3) -2 * (-3) 10

6. Example 2 – Multiplying Powers in Algebraic Expressions  What is the simplified form of each expression?  A.) 6b 3 * 3b -8  B.) 4c * 3d 5 * 2c 3

7. Example 3 - Multiplying Numbers in Scientific Notation  What is the simplified form of (5 x 10 6 )(6 x 10 -10 )?

8. Example 4 – Multiplying Numbers in Scientific Notation  The speed of light is about 3 x 10 8 meters per second. How far would a beam of light travel in 8.64 x 10 4 seconds.

9. Assignment  Pg. 429 (8 – 13 all, 14 – 28 even, 30 – 32 all, 35, 36)