Laws of Exponents:Product and Quotient Rule
Presentation
•
Mathematics
•
10th Grade
•
Medium
+3
Standards-aligned
Kayla Matthews
Used 5+ times
FREE Resource
14 Slides • 20 Questions
1
LAWS OF EXPONENTS
Weekly Objective: Students will use reasoning to define the laws of exponents to simplify expressions with exponents by applying the including:
----Product Rule
----Quotient Rule
--Power Rule
with an at least 75% accuracy.
2
True Meaning of Exponent
3
Discussion Question: How can knowing the growth of smart phone sales be an asset to businesses? Give an example.
Exponents in Our World
4
Growth of Smart Phones Affect:
My Example
The Smart Phone Company: it can provide actionable insights into a sales team's performance, help them build better strategies, and improve organizational decision-making to handle the demand of the product and continue to grow demand.
5
Vocabulary Review
Base:
a number that is raised to a certain power
Exponent:
Shows how many times the number is multiplied by itself.
Coefficient:
a number that multiplied by the variable
6
Multiple Choice
What is the base in the term: 4x2
x
2
4
4x2
7
Multiple Choice
Pick the best option: Has a base of 5 and an exponent 7.
75
5x7
57
7x5
8
Open Ended
Create an expression where
Coefficient is 6 the base is y and the exponent is 5
9
Open Ended
Create an expression with a coefficient less than 5 and an exponent more than 10.
10
Multiple Choice
Pick the answer choice that label parts of the term correctly:
6y9
Coefficient: y
Base: 6
Exponent: 9
Coefficient: 9
Base: 6
Exponent: y
Coefficient: y
Base: 6
Exponent: 9
Coefficient: 6
Base: y
Exponent: 9
11
Exponents
Let's review exponents!
12
Open Ended
Expand and simplify 45 Fill in on table
13
Open Ended
Expand and simplify 63
14
15
Multiple Choice
x6
x×x×x×x×x×x
6×6×6×6×6×6
6×x
6×x×x×x×x×x
16
Today's Objective
Today we will learn to simplify expressions by applying the laws of exponents when it comes to multiplication (product rule) and division(quotient rule)
17
Product Rule: Investigation
Could you create a rule to simplify the expression?
Rule:
18
Product Rule: Investigation
19
Product Rule
20
Multiple Choice
Simplify:
(b2 )(b4)
21
Multiple Choice
b3×b
b3
b4
b2
2b3
22
Multiple Choice
n⋅n4⋅n5
n9
n20
n10
n45
23
Multiple Choice
Multiply: (X2Y4) (X5Y12)
24
Multiple Choice
25
Multiple Choice
Simplify the following expression:
3x4 ⋅ 6x6
18x10
9x10
18x24
9x24
26
Multiple Choice
27
Multiple Choice
Simplify the following expression:
2x3y5 ⋅ 5xy2
10x4y7
7x4y7
10x3y10
7x3y10
28
Quotient Rule: Investigation
Could you create a rule to simplify the expression?
Rule:
29
Quotient Rule: Investigation
30
Quotient Rule
31
Multiple Choice
x2x5
x3
x10
x3
x31
32
Multiple Choice
33
Multiple Choice
4x212x5
34
Multiple Choice
x2x3⋅x4
x2x7
x101
x5
x−5
LAWS OF EXPONENTS
Weekly Objective: Students will use reasoning to define the laws of exponents to simplify expressions with exponents by applying the including:
----Product Rule
----Quotient Rule
--Power Rule
with an at least 75% accuracy.
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