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Chapter 10
Lesson
10-6
(over Lesson 10-4)
A.
C
B.
.
D.
A.
B.
C.
A
B
D
(over Lesson 10-5)
Find 3y 4(5y 2). Express using exponents.
A. 15y 6
B. 15y 2
C. 8y
6
D. 8y 2
A.
B.
C.
D.
A
B
C
D
(over Lesson 10-5)
Multiply 4(–3) ● 4(–4). Express using positive exponents.
A.
B.
C. 16y 2
D. 16y 12
1.
2.
3.
4.
A
B
C
D
(over Lesson 10-5)
Multiply (–3x6yz2)(–2xy–3). Express using positive exponents.
A. 6x7y–2z2
B.
C.
D.
1.
2.
3.
4.
A
B
C
D
• Divide monomials.
Standard 7NS2.3 Multiply, divide, and simplify
rational numbers by using exponent rules.
Standard 7AF2.1 Interpret positive whole-number powers
as repeated multiplication and negative whole-number
powers as repeated division or multiplication by the
multiplicative inverse. Simplify and evaluate expressions
that include exponents.
Standard 7AF2.2 Multiply and divide monomials; extend
the process of taking powers and extracting roots to
monomials when the latter results in a monomial with an
integer exponent.
35
33
= 32
129
5
12
=
124
Here’s your 1st math challenge
of the day:
2116
5
21
=
2111
67
= 6
6
6
So let’s analyze what’s happening.
When you divide monomials that have the
same base:
35
2
3
=
33
129
5
12
=
124
2116
5
21
=
2111
You keep the base and
subtract the exponents.
Remember when we learned
how
to
do
this:
Remember this and
apply-4it to1your
3
=
4
nd
3
2 challenge
of this
We simply turned
any base with a
negative exponent
into
a
fraction
with
a
lesson!
denominator of 1 and and the exponent
becomes positive.
3-5
1
-8
3
=
=
33
38
12-9
=
124
12-13
=
1
1213
Here’s your 2nd math challenge of
the day:
21-6
1
-7
= 21 =
21
217
1
66
-1
= 6 =
7
6
6
When
So let’s
youanalyze
divide what’s
monomials
happening.
and get a
negative exponent:
3-5
1
-8
= 3 = 8
3
3
3
12-9
=
4
12
12-13
=
1
1213
You create a fraction with a numerator of
1 & the base & the exponent become the
denominator. The exponent changes to
positive.
Remember when we learned
how to do this:
Remember this and
apply
it
to
your
-5 – (-6) = 1
rd
3 challenge
of this
When we subtract
a negative (we
call that a double
negative), we
lesson!
change it to a positive then
combine.
6-3 2
=6
-5
6
129
13
12
=
12-4
Here’s your 3rd math
challenge of the day:
X-11
-16
x
=
5
x
y-6
-1 = 1
Y
=
y-7
y
When
you divide
monomials
subtract a
So let’s
analyze
what’sand
happening.
negative:
-3 - (-5) = -3 + 5 = 2
6-3 = 62
6-5
-7 - (-6) = -7 + 6 = -1
y-7 1
=
-6
y
y
You turn the double negative into a positive
then combine. If you get a (+) exponent you’re
done.
If you get a (-) exponent, create a fraction to
turn the exponent to a (+).
Divide Powers
Simplify
Express using exponents.
The common base is 6. Subtract the
exponents.
Simplify.
Answer: 610
Divide Powers
Simplify
Express using exponents.
The common base is a. Subtract the
exponents.
Simplify.
Answer:
a6
Use Negative Exponents
The common base is 8. Subtract the
exponents.
Simplify. Subtract the exponents.
Make the base & negative exponent
into a denominator to make the
exponent positive.
Use Negative Exponents
The common base is x. Subtract
the exponents. Here you have a
double negative. Remember the
rule.
The double negative makes the 1 a 1. Now combine them &
simplify.
Make the base & negative exponent
into a denominator to make the
exponent positive.
Simplify
Express using exponents.
A. 34
B. 36
C. 38
D. 310
1.
2.
3.
4.
A
B
C
D
Simplify
Express using exponents.
A. x6
B. x8
C. x
12
D. x14
A.
B.
C.
D.
A
B
C
D
Simplify
. Express using positive exponents.
A.
B.
C. 55
D. 511
1.
2.
3.
4.
A
B
C
D
Simplify
. Express using positive exponents.
A.
B.
C. a
5
D. a13
A.
B.
C.
D.
A
B
C
D
Simplify
. Express using positive exponents.
A.
B.
C. 6b11
D.
A.
B.
C.
D.
A
B
C
D
POPULATION The population of the state of Michigan is about 107. The
population of Alger County, Michigan is about 104. How many times larger
is the population of Michigan than the population of Alger County?
A. 102
B. 103
C. 104
D. 105
A.
B.
C.
D.
A
B
C
D