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Algebra Examples
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Algebra
Simplify (2ab)^5
(
2
a
b
)
5
(
2
a
b
)
5
Step 1
Use the
power rule
(
a
b
)
n
=
a
n
b
n
(
a
b
)
n
=
a
n
b
n
to distribute the
exponent
.
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Step 1.1
Apply the
product rule
to
2
a
b
2
a
b
.
(
2
a
)
5
b
5
(
2
a
)
5
b
5
Step 1.2
Apply the
product rule
to
2
a
2
a
.
2
5
a
5
b
5
2
5
a
5
b
5
2
5
a
5
b
5
2
5
a
5
b
5
Step 2
Raise
2
2
to the
power
of
5
5
.
32
a
5
b
5
32
a
5
b
5
(
2
a
b
)
5
(
2
a
b
)
5
(
(
)
)
|
|
[
[
]
]
√
√
≥
≥
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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