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Algebra Examples
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Algebra
Simplify 4^(3/2)
4
3
2
4
3
2
Step 1
Simplify the
expression
.
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Step 1.1
Rewrite
4
4
as
2
2
2
2
.
(
2
2
)
3
2
(
2
2
)
3
2
Step 1.2
Apply the
power rule
and
multiply
exponents
,
(
a
m
)
n
=
a
m
n
(
a
m
)
n
=
a
m
n
.
2
2
(
3
2
)
2
2
(
3
2
)
2
2
(
3
2
)
2
2
(
3
2
)
Step 2
Cancel the
common factor
of
2
2
.
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Step 2.1
Cancel the
common factor
.
2
2
(
3
2
)
2
2
(
3
2
)
Step 2.2
Rewrite the
expression
.
2
3
2
3
2
3
2
3
Step 3
Raise
2
2
to the
power
of
3
3
.
8
8
4
3
2
4
3
2
(
(
)
)
|
|
[
[
]
]
√
√
≥
≥
7
7
8
8
9
9
≤
≤
4
4
5
5
6
6
/
/
^
^
×
×
>
>
∩
∩
∪
∪
1
1
2
2
3
3
-
-
+
+
÷
÷
<
<
π
π
∞
∞
,
,
0
0
.
.
%
%
=
=
⎡
⎢
⎣
x
2
1
2
√
π
∫
x
d
x
⎤
⎥
⎦
[
x
2
1
2
π
∫
x
d
x
]
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