Question

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

Answer 1

Answer = 8m⁸ n⁶/3

Step-by-step explanation

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

⇒(2mn)⁴/6m⁻⁴n⁻²

= 2⁴ · m⁴ · n⁴ / 6 · m⁻⁴ · n⁻²

=
`(2 ^(4) )/(6)` · m⁴⁻⁽⁻⁴⁾ · n⁴⁻⁽⁻²⁾

=
`(16)/(6)` · m⁴⁺⁴ · n⁴⁺²

=
`(8)/(3)` · m⁸ · n⁶

= 8m⁸ n⁶/3
Same as (8m^8n^6)/3