Which of the following expressions is equivalent to
81
x
16
4
\sqrt[4]{81x^{16}}
4
81
x
16
?
3
x
2
3x^2
3
x
2
3
x
4
3x^4
3
x
4
3
x
8
3x^8
3
x
8
9
x
4
9x^4
9
x
4
9
x
8
9x^8
9
x
8
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Approach
81
x
16
4
=
3
4
(
x
4
)
4
4
\sqrt[4]{81x^{16}} = \sqrt[4]{3^4(x^4)^4}
4
81
x
16
=
4
3
4
(
x
4
)
4
(
3
x
4
)
4
4
=
3
x
4
\sqrt[4]{(3x^4)^4} = 3x^4
4
(
3
x
4
)
4
=
3
x
4