1. Multiplication Property of Exponents, Rational Exponents and Scientific Notation 01-06-15

2. Multiplication Property of Exponents

3. (a 3 )(a 4 ) This means Or a 7 A shortcut for this--- When you are multiplying and the bases are the same ADD THE EXPONENTS

4. Examples 4x 3x

5. Try these…

6. Rational Exponents

8. Examples

9. Try These: 2 5 3 2

10. Rational Exponents

11. Scientific Notation A number is in scientific notation when There is a number (I’ll call “n”) that is bigger than or equal to one, but less than ten. This number “n” is multiplied by a power of ten. A power of ten is 10 to the something power. So it will look something like this: (just remember digit dot) n n. x 10 -3

12. Examples Which are in scientific notation? 3.5 x 10 3 62.6 x 10 -2 0.86 x 10 8 3.82 x 100 -6 4.6 x 10 0 Yes No Yes

13. Examples Write in scientific notation 13,030,000 0.000 092 675 million 283 hundred thousandths 1.303 x 10 7 9.2 x 10 -5 6.75 x 10 8 2.83 x 10 -3

14. Examples Write in standard form (as a regular number): 6.2 x 10 -5 1.2345 x 10 10 7.91 x 10 0 5 x (7 x 10 6 ) 0.000 062 12,345,000,000 7.91 35,000,000

15. Multiplying Scientific Notation