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Algebra
Simplify (2x^2)^5
(
2
x
2
)
5
(
2
x
2
)
5
Step 1
Apply the
product rule
to
2
x
2
2
x
2
.
2
5
(
x
2
)
5
2
5
(
x
2
)
5
Step 2
Raise
2
2
to the
power
of
5
5
.
32
(
x
2
)
5
32
(
x
2
)
5
Step 3
Multiply
the
exponents
in
(
x
2
)
5
(
x
2
)
5
.
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Step 3.1
Apply the
power rule
and
multiply
exponents
,
(
a
m
)
n
=
a
m
n
(
a
m
)
n
=
a
m
n
.
32
x
2
⋅
5
32
x
2
⋅
5
Step 3.2
Multiply
2
2
by
5
5
.
32
x
10
32
x
10
32
x
10
32
x
10
(
2
x
2
)
5
(
2
x
2
)
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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