Which expression is equivalent to (2mn)^4/6m^-4n^-2? assume m=/0 n=/0.

Answer = 8m⁸ n⁶/3

EXPLANATION

(2mn)^4/6m^-4n^-2

⇒(2mn)⁴/6m⁻⁴n⁻²

= 2⁴ · m⁴ · n⁴ / 6 · m⁻⁴ · n⁻²

=  · m⁴⁻⁽⁻⁴⁾ · n⁴⁻⁽⁻²⁾

=  · m⁴⁺⁴ · n⁴⁺²

=  · m⁸ · n⁶

= 8m⁸ n⁶/3
Same as (8m^8n^6)/3

and surely you know how much that is.