Examples
9
5
9
6
9
5
6
9
11
a
2
a
3
a
5
a
2
3
5
a
10
■
When dividing identical bases, keep the same base and subtract the exponents:
b
m
b
n
b
m
n
b
b
m
n
b
m
n
Examples
6
5
6
3
6
5
3
6
2
a
a
9
4
a
9
4
a
5
■
If an exponent appears outside of parentheses, multiply any exponents inside the parentheses by the expo-
nent outside the parentheses.
(
b
m
)
n
b
m
n
Examples
(4
3
)
8
4
3
8
4
24
(
j
4
k
2
)
3
j
4
3
k
2
3
j
12
k
6
Practice Question
Which of the following is equivalent to 6
12
?
a.
(6
6
)
6
b.
6
2
6
5
6
5
c.
6
3
6
2
6
7
d.
1
3
8
3
15
e.
6
6
4
3
Answer
c.
Answer choice
a
is incorrect because (6
6
)
6
6
36
. Answer choice
b
is incorrect because exponents don’t
combine in addition problems. Answer choice
d
is incorrect because
b
b
m
n
b
m
n
applies only when the
base in the numerator and denominator are the same. Answer choice
e
is incorrect because you must
subtract the exponents in a division problem, not multiply them. Answer choice
c
is correct: 6
3
6
2
6
7
6
3
2
7
6
12
.
S q u a r e s a n d S q u a r e R o o t s
The
square
of a number is the product of a number and itself. For example, the number 25 is the
square
of the
number 5 because 5
5
25. The square of a number is represented by the number raised to a power of 2:
a
2
a
a
5
2
5
5
25
The
square root
of a number is one of the equal factors whose product is the square. For example, 5 is the
square root of the number 25 because 5
5
25. The symbol for square root is
. This symbol is called the
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