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![Page 1: Name: Date: Period: Topic: Multiplication & Division Properties of Exponents Essential Question: How can you use the multiplication and/or division properties.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649d9f5503460f94a8ae7e/html5/thumbnails/1.jpg)
Name: Date:Period:Topic: Multiplication & Division Properties of ExponentsEssential Question: How can you use the multiplication and/or division properties of exponents to simplify problems?
Warm-Up:Mix-Review
Explain how do you determine if a problem
is a function, provide an example.
I should use my notesto refresh my memory!
![Page 2: Name: Date: Period: Topic: Multiplication & Division Properties of Exponents Essential Question: How can you use the multiplication and/or division properties.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649d9f5503460f94a8ae7e/html5/thumbnails/2.jpg)
Home-Learning review #7
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Quick Review:(Lets Keep it Under a Minute)!
![Page 4: Name: Date: Period: Topic: Multiplication & Division Properties of Exponents Essential Question: How can you use the multiplication and/or division properties.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649d9f5503460f94a8ae7e/html5/thumbnails/4.jpg)
Location of Exponent
• An exponent is a little number high and to the right of a regular or base number.
3 4Base
Exponent
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Definition of Exponent
• An exponent tells how many times a number is multiplied by itself.
3 4Base
Exponent
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What an Exponent Represents
• An exponent tells how many times a number is multiplied by itself.
34= 3 x 3 x 3 x 3
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How to read an Exponent
• This exponent is read three to the fourth power.
3 4Base
Exponent
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P ro d u c t o f p o w ers p ro p erty : a a am n m n
P o w er o f a p o w er p ro p erty : a am n m n
P o w er o f a p ro d u c t p ro p erty : a b a bm m m
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Words Numbers Algebra
To multiply powers with the
same base, keep the base and add the exponents.
bm • bn = bm + n
35 • 38 = 35 + 8 = 313
MULTIPLYING POWERS WITH THE SAME BASE
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1. 66 • 63
2. n5 • n7
3. 25 • 2
4. 244 • 244
5. 42 • 44
6. x2 • x3
7. x5 • y2
8. 412 • 417
Together! Alone!
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15
5•3
53
4
4
)4(
NOTE:
Multiply the exponents, not add them!
Words Numbers Algebra
To multiply power of a
power, keep the base and
multiply the exponents.
Multiplying Power of a Power
(pr)s =
pr • s
![Page 12: Name: Date: Period: Topic: Multiplication & Division Properties of Exponents Essential Question: How can you use the multiplication and/or division properties.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649d9f5503460f94a8ae7e/html5/thumbnails/12.jpg)
Together! Alone!
1. (x2)3
2. (55)2
3. (y4)2
4. (3)6
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1.) b2 • b7
2.) (p3)4
3.) (a2)3 • a3
4.) x2 • (xy)2
5.) (4m)2 • m3
6.) (3a)3
•(2p)2
7.) w3 • (3w)4
8.) p-2
9.)(a2b)0
10.)(x-2y3)-2 Pair- Practice!
![Page 14: Name: Date: Period: Topic: Multiplication & Division Properties of Exponents Essential Question: How can you use the multiplication and/or division properties.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649d9f5503460f94a8ae7e/html5/thumbnails/14.jpg)
1.) b2 • b7 1.) b9 2.) (p3)4 2.) p12 3.) (a2)3 • a3 3.) a9
4.) x2 • (xy)2 4.) x4y2 5.) (4m)2 • m3 5.) 16m5
6.) (3a)3 • (2p)2 6.) 108a3p2 7.) w3 • (3w)4 7.) 81w7 8.) p-2 8.) 1/p2 9.)(a2b)0 9.) 1 10.)(x-2y3)-2 10.) x4/y6
ANSWERS
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Multiplying Polynomials:
In multiplying polynomials, you have to multiply the
coefficients and add up the exponents of the variables
with the same base.
Ex:
35
3
2
5
32
232
20
•
•
20
5•4
45
yx
y
yy
x
xx
yxyx
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Please simplify the following equations:
)3)(4( 3224 yxyx
Answer: 5612 yx
How?:
56
5
32
6
24
12
•
•
12
3•4
yx
y
yy
x
xx
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Additional Practice:
Page 429 - 431 (8, 9, 16, 47, 49, 73)
Page 436 - 437 (20, 47)
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Division Properties of Exponents
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Simplify
Finding Quotients of Powers
A.
B.
Together Alone
C.
D.
A.
B.
C.
D.
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Simplify.
Finding Positive Powers of Quotient
A.
B.
Together Alone
C.
A.
B.
C.
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Remember that What if x is a fraction?
![Page 24: Name: Date: Period: Topic: Multiplication & Division Properties of Exponents Essential Question: How can you use the multiplication and/or division properties.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649d9f5503460f94a8ae7e/html5/thumbnails/24.jpg)
Simplify.
Finding Negative Powers of Quotients
A.
B.
Together Alone
C.
A.
B.
C.
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Additional Practice:
Page 443 - 445 (8, 11, 13, 37, 42, 49, 50, 60)
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Home-Learning Assignment #8:
Page 429 - 431 (25, 48, 50, 72)Page 437 – 438 (48, 78)
Page 443 - 445 (14, 16, 43, 70)