warm-up: mix-review explain how do you determine if a problem is a function, provide an example
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Name: Date: Period: Topic : Multiplication & Division Properties of Exponents Essential 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 - PowerPoint PPT PresentationTRANSCRIPT
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!
Location of Exponent
• An exponent is a little number high and to the right of a regular or base number.
3 4Base
Exponent
Definition of Exponent
• An exponent tells how many times a number is multiplied by itself.
3 4Base
Exponent
What an Exponent Represents
• An exponent tells how many times a number is multiplied by itself.
34= 3 x 3 x 3 x 3
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
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
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!
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
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!
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
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
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