1. Unit 1: Number Sense Lesson 8 – Exponent Laws Learning Goal I can identify the exponent laws related to multiplication, division, and power of a power

2. Unit 1: Number Sense Lesson 8 – Exponent Laws Exponential FormExpanded FormSingle Power 3636 Create your own example

3. Unit 1: Number Sense Lesson 8 – Exponent Laws Reflection: a)What do you notice about the exponents in the first and last columns? b) What do you think the rule is for multiplying exponents?

4. Unit 1: Number Sense Lesson 8 – Exponent Laws Exponential FormExpanded FormSingle Power 5252 Create your own example

5. Unit 1: Number Sense Lesson 8 – Exponent Laws Reflection: c)What do you notice about the exponents in the first and last columns? d)What do you think the rule is for dividing exponents?

6. Unit 1: Number Sense Lesson 8 – Exponent Laws Exponential FormExpanded FormSingle Power (2 2 ) 3 2626 (5 3 ) 4 (10 4 ) 2 (3 2 ) 3 Create your own example

7. Unit 1: Number Sense Lesson 8 – Exponent Laws Reflection: e)What do you notice about the exponents in the first and last columns? f)What do you think the rule is for a power of a power?

8. Unit 1: Number Sense Lesson 8 – Exponent Laws Look at all of the examples…. What do you notice about the bases? In order to apply any of these exponent laws the BASES MUST BE THE SAME!

9. Unit 1: Number Sense Lesson 8 – Exponent Laws Power of Power: Bases must be the same. Multiply the exponents and keep the base the same. Dividing: Bases must be the same. Subtract the exponents and keep the base the same. Multiplying: Bases must be the same. Add the exponents and keep the base the same.

10. Unit 1: Number Sense Lesson 8 – Exponent Laws What about Adding and Subtracting? Example: 2 2 + 2 3

11. Unit 1: Number Sense Lesson 8 – Exponent Laws The exponent laws DO NOT apply for adding and subtracting.

12. Unit 1: Number Sense Lesson 8 – Exponent Laws Exponents apply to all parts of the term inside brackets. The coefficient and the variable. (3x)2(3x)2

13. Unit 1: Number Sense Lesson 8 – Exponent Laws Evaluate: (3x) 2

14. Unit 1: Number Sense Lesson 8 – Exponent Laws Evaluate: (3x 2 ) 2

15. Unit 1: Number Sense Lesson 8 – Exponent Laws Evaluate: (3 2 )(3 5 )

16. Unit 1: Number Sense Lesson 8 – Exponent Laws Evaluate: ((3x 5 )) 2 +(3x) 2

17. Unit 1: Number Sense Lesson 8 – Exponent Laws What about 0 as an exponent?

18. Unit 1: Number Sense Lesson 8 – Exponent Laws Practice  Pg. 229 #1-4, 5ag, 6abcf, 7abh, 8aimnpq, 9abe, 17abc