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ANSWER

[tex] 256 {x}^{4} [/tex]


EXPLANATION

The given expression is

[tex] {(4x)}^{4} [/tex]

Recall that,


[tex] {(ab)}^{m}={(a}^{m}{b}^{m})[/tex]

We apply this property to get,

[tex] = ( {4}^{4} {x}^{4} )[/tex]


This simplifies to,


[tex] = 256 {x}^{4} [/tex]

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