which expression is the simplest form of..

Answer:   Answer choice:  [A]:  " x⁻ ⁴ " ._____________________________________________Step-by-step explanation:_____________________________________________Given:{x ^ [tex]^( {\frac{-4}{7}) }^7[/tex] ;  →  Simplify._____________________________________________Note the following property of exponents:_____________________________________________  →   (xᵃ) ᵇ  =  x ⁽ ᵃ * ᵇ ⁾   ;    {a ≠ 0 ;  b ≠ 0 .} ._____________________________________________As such:_____________________________________________ →    {x ^ [tex]^( {\frac{-4}{7}) }^7[/tex]  ;          =  x ^ ([tex][(\frac{-4}{7}) * 7 ][/tex]  ; _____________________________________________ Find:  [tex][(\frac{-4}{7}) * 7 ] ; Note:  " 7  = [tex]\frac{7}{1}[/tex] " .So:  Find:  " [tex][(\frac{-4}{7} * [tex]\frac{7}{1}[/tex] " ; The 2 (two) "7 's " ;  cancel out to "1" ;         →   {since:  " 7 ÷ 7 = 1 " } ; And we have:   -4 * 1 = -4 .So, we have:        " x ⁻ ⁴ "  ; which is:  Answer choice:  [A]:  " x⁻ ⁴  " . ___________________________________________Choice:  [C} —  is also an equivalent;  however, the question asks for the "simplest form" — which is:  Answer choice:  [A].___________________________________________