unit 1: number sense lesson 8 – exponent laws learning goal i can identify the exponent laws...
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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
Unit 1: Number Sense
Lesson 8 – Exponent Laws
Exponential Form Expanded Form Single Power
32 34 (3 36
64 1
24 22 23
a3 a6
Create your own example
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?
Unit 1: Number Sense
Lesson 8 – Exponent Laws
Exponential Form Expanded Form Single Power
55 52
74 1
106 104
P8 p5
Create your own example
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?
Unit 1: Number Sense
Lesson 8 – Exponent Laws
Exponential Form Expanded Form Single Power
(22)3 (22) (22)×(22)= (2 2)(2 ×2)(2 ×2) 26
(53)4
(104)2
(32)3
Create your own example
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?
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!
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.
Unit 1: Number Sense
Lesson 8 – Exponent Laws
What about Adding and Subtracting?
Example: 22 + 23
Unit 1: Number Sense
Lesson 8 – Exponent Laws
The exponent laws DO NOT apply for adding and subtracting.
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
Unit 1: Number Sense
Lesson 8 – Exponent Laws
Evaluate: (3x)2
Unit 1: Number Sense
Lesson 8 – Exponent Laws
Evaluate: (3x2)2
Unit 1: Number Sense
Lesson 8 – Exponent Laws
Evaluate: (32)(35)
Unit 1: Number Sense
Lesson 8 – Exponent Laws
Evaluate: ((3x5))2 +(3x)2
Unit 1: Number Sense
Lesson 8 – Exponent Laws
What about 0 as an exponent?
Unit 1: Number Sense
Lesson 8 – Exponent Laws
Practice
Pg. 229 #1-4, 5ag, 6abcf, 7abh,
8aimnpq, 9abe, 17abc