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Algebra
Simplify the Radical Expression fourth root of (k^16)/(16z^4)
4
√
k
16
16
z
4
k
16
16
z
4
4
Step 1
Rewrite
k
16
k
16
as
(
k
4
)
4
(
k
4
)
4
.
4
√
(
k
4
)
4
16
z
4
(
k
4
)
4
16
z
4
4
Step 2
Rewrite
16
z
4
16
z
4
as
(
2
z
)
4
(
2
z
)
4
.
4
⎷
(
k
4
)
4
(
2
z
)
4
(
k
4
)
4
(
2
z
)
4
4
Step 3
Rewrite
(
k
4
)
4
(
2
z
)
4
(
k
4
)
4
(
2
z
)
4
as
(
k
4
2
z
)
4
(
k
4
2
z
)
4
.
4
√
(
k
4
2
z
)
4
(
k
4
2
z
)
4
4
Step 4
Pull
terms
out from under the radical.
∣
∣
∣
k
4
2
z
∣
∣
∣
|
k
4
2
z
|
Step 5
Remove non-negative
terms
from the
absolute value
.
k
4
2
|
z
|
k
4
2
|
z
|
⎡
⎢
⎣
x
2
1
2
√
π
∫
x
d
x
⎤
⎥
⎦
[
x
2
1
2
π
∫
x
d
x
]
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