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Exponents - Multiplication of Powers - Algebra 1 Flashcards | StudBud
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Exponents - Multiplication of Powers - Algebra 1
Exponents - Multiplication of Powers - Algebra 1
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A #math Quiz for multiplying exponents with the same base. For a college prep #Algebra 1 class.
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Questions
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Answers
1
b
3
b
5
b15
b3+5
b*8
b8
2
Apply your rules to fill in the [ ]!
0
-4
4
1/4
3
Simplify: a
3
a
2
a
a4
a6
a5
4
What is 5
0
?
5
1/5
0
1
5
What does 3
n
mean?
Raise n to the power 3.
Multiply 3 by n.
Multiply by 3, n times.
Multiply by n, 3 times.
6
What is the n?
Exponent
Base
7
But what does a fractional exponent mean?
4 times itself 2 times
something times itself 4 times gives 2
something times itself 2 times gives 4
4 divided by itself 2 times
8
More practice: What is (6n
3
)(2n
7
) ?
22n
n22
12n10
10n12
9
What is 0
5
?
1
5
1/5
0
10
Simplify the expression
n5/3
n4/3
n3/5
n5/6
11
That's the Rule for a Product of Powers!
I don't get it.
Awesome!
12
What is 4*5?
4
16
20
5
13
Simplify: x
2
x
2
x
2
6x
3x2
X6
X3
14
Apply your rules to fill in the [ ]!
-1/6
2/6
1/3
1/6
15
Now simplify.
3
2
9
4
16
To multiply powers with the same base, ______ the exponents.
multiply
add
subtract
divide
17
What is 3
0
?
1
3
0
-3
18
x
5
yx
2
y
4
z
2
xz
3
xyz16
x5y5z5
x3y2z2
x8y5z5
19
What is multiplication?
Opposite of addition
Repeated Division
Commutative
Repeated addition
20
Simplify: 3*3*3*3*2*2*2*2*2
3⋅4 + 5⋅2
34⋅25
32
3⋅4⋅5⋅2
21
What does this mean in words?
something times itself 4 times is 81
81 divided by 4, 4 times
something times 4 is 81
something times itself 81 times is 4
22
What is 3
4
?
3333
81
27
12
23
So what is 0
0
?
Infinity
Undefined
0
1
24
What is the 3?
Base
Exponent
25
Apply your rules to fill in the [ ]!
2
11
9
5
26
Predict: What will we try next?
Multiple bases
Negative exponents
Multiple exponents
Fraction exponents
27
Simplify: (xxx)(xxxx)
X3x4
3x⋅4x
3x+4x
X3+x4
28
What is 536
0
?
536
-536
1
0
29
Simplify: 5+5+5+5+3+3+3+3+3+3
8+8+8+8
3⋅5 + 5⋅3
4⋅5 + 6⋅3
5555333333
30
Hoverboards don't work on water!
McFly, you bojo!
Unless you've got power!
Roads? Where we're going, we don't need roads.
Keep it. I've got a Pit Bull now!
31
Back to basics... Simplify: blob
2
blob
2
b6l2o2
blob4
b2l2o2b4
(blob)4
32
Simplify
8
4
2
16
33
Simplify: x
3
x
4
X8
X6
X7
X12
34
Back to basics... Simplify: (blob)
0
(blob)
2
(blob)2
(blob)1
0
(blob)0
35
(3y
4
)(7y
5
)
21y9
21y20
10y9
9y21
36
Back to basics... Simplify: (blob)
2
(blob)
3
(blob)5
(blob)4
(blob)-1
5(blob)
37
x
2
⋅y
2
⋅x⋅y
3
x⋅y8
x8⋅y8
x3⋅y5
x2⋅y2⋅x⋅y3
38
Apply your rules to fill in the [ ]!
-5
-4
5
4
39
Apply the Multiplication of Powers Rule
1/16
256
4
16
40
g
4
g
6
g10
g9
g24
g8
41
Back to basics... Simplify: (blob)
-3
(blob)
-1
(blob)-4
-(blob)4
(blob)4
1 / (blob)4
42
No matter what:
ADD!!
ADD
Add
add
43
What is 3*3*3*3?
27
12
81
3333
44
What is exponentiation?
Scientific Notation
Distributive property
Logarithms
Repeated multiplication
45
We've done negative, zero, and positive exponents...
Decimals
Fractions
46
What is 0
2
?
1
2
0
-2
47
What is 9
1/2
92
3
3*3
32
48
Back to basics... Simplify: (blob)(blob)
2(blob)
(blob)2
blob+blob
(blob)(blob)
49
Apply your rules to fill in the [ ]! (x; y)
2; -3
3; -2
-3; 2
-2; 3
50
Target for today:
Multiplying Powers
Multiplying bases
Adding exponents
Product of powers
51
(3pt
3
)(p
3
t
4
)
p4t7
3p6t4
p6t4
3p4t7
52
(-4rx
2
t
3
)(-6r
5
x
2
t)
-24r6x4t4
10r6x4t4
24r5x7t4
24r6x4t4
53
In general this means...
B multiplied as a factor M times equals A
B times B, M times, equals A
B is the Mth root of A
B times itself M times equal A
54
Simplify: xxxxxxx
X6
X7
7x
X8
55
What is 5+5+5+5?
20
15
4
5
56
x
4
y
3
x7
x3y4
y7
x4y3
57
Apply Multiplication of Powers
43
41/9
42/3
41/3+41/3
58
To add exponents, you must ______ the same bases.
multiply
subtract
divide
add
59
Apply your rules to fill in the [ ]!
0
-1/2
1
1/2
60
What about fractions other than 1/2 ?
something times itself 3 times is 8
something divided by 3, 8 times
something times itself 8 times is 3
8 times itself 3 times is something
61
a
m
a
p
am+p
amp
amp
a(m+p)
