1. Lesson 6.1 AIM: Understanding Multiplication of Exponents

2. Zero Exponents Anything to the power of 0 equals 1.

3. Negative Exponents If you want to get rid of a negative exponent, move it to the top or bottom of the fraction.

4. Multiplying Exponents If you are multiplying bases with exponents, ADD THE EXPONENTS. 3 5 x 3 4 = 3 9 h 2 x h 9 = h 11

5. (3d -4 )(5d 8 ) Multiply the Coefficients (3x5) Add the Exponents (-4+8) (3d -4 )(5d 8 ) = 15d 4

6. p 7 q 5 p 6 Add the exponents for the same bases. p 7 q 5 p 6 = p 13 q 5

7. Add the exponents. Make the exponent positive.

8. 5 -6 5 4 Add the exponents. 5 -6 5 4 = 5 -2 Make the exponent positive. 5 -2 =

9. (7 x 10 7 )(5 x 10 -5 ) Multiply the Coefficients Then add the Exponents (7 x 10 7 )(5 x 10 -5 ) = 35 x 10 2

10. (7.2 x 10 -7 )(2 x 10 -5 ) Multiply the Coefficients Then add the Exponents (7.2 x 10 -7 )(2 x 10 -5 ) = 14.4 x 10 -12

11. (2.1 x 10 -4 )(4 x 10 -7 ) Multiply the Coefficients Then add the Exponents (2.1 x 10 -4 )(4 x 10 -7 ) = 8.4 x 10 -11

12. (7 x 10 6 )(4 x 10 9 ) Multiply the Coefficients Then add the Exponents (7 x 10 6 )(4 x 10 9 ) = 28 x 10 15