How to simplify (2n/(4k^5c^4))^3

Question

Require a detail explanation on how to solve this problem

Answer 1

      (2n/(4k⁵c⁴))³  

 =   (n/(2k⁵c⁴))³

 =   (n)³/(2k⁵c⁴)³

     ==>  (n)³ = n³

     ==>  (2k⁵c⁴)³ = (2)³(k⁵)³(c⁴)³ = 8k^5·3c^4·3 = 8k¹⁵c¹²

     

     (n)³/(2k⁵c⁴)³

   = n³/(8k¹⁵c¹²)

Answer 2

(2n/(4k⁵c⁴))³

==>(2n)³/(4k⁵c⁴)³                     - - - - - (a/b)^m = a^m/b^m

==>2³n³/4³(k⁵)³(c⁴)³           - - - - - (ab)^m = a^mb^m

==>8n³/64k¹⁵c¹²                 - - - - - (a^m)ⁿ = a^mn

==>n³/8k¹⁵c¹²         

Answer 3

(ab)^m = a^m b^m 
(a/b)^m = a^m / b^m
(a^m)ⁿ = a^{m · n}

2³ n³ / (4³ k^{5 · 3} c^{4 · 3}) = 8n³ / (64 c¹² k¹⁵)