Respuesta :

Answer:

The correct answer option is A. [tex]\frac{x^{12}}{64}[/tex].

Step-by-step explanation:

We are given the following expression and we are to simplify it:

[tex] ( 4 x ^ { - 4 } ) ^ { - 3 } [/tex]

Distributing the power among the terms to get:

[tex] 4 ^ { - 3 } . 4 ^ { - 4 * - 3 } [/tex]

[tex]4^{-3}.x^{12}[/tex]

[tex]\frac{x^{12}}{4^3}[/tex]

[tex] \frac { x ^ { 1 2 } } { 6 4 } [/tex]