Question

How do you multiply `(\frac { m ^ { 3} n ^ { 4} p ^ { - 5} } { m ^ { - 2} n ^ { - 4} } ) ^ { 5}`?

Answer 1

`(m^25n^40)/p^25`

Explanation:

`((m^3n^4p^-5)/(m^-2n^-4))^5`

`:.=(m^15n^20p^-25)/(m^-10n^-20)`

`:.=m^(15-(-10))n^(20-(-20))p^-25`

`:.=m^25n^40p^-25`

`:.=(m^25n^40)/1*1/p^25`

`:.=(m^25n^40)/p^25`