Question

How do you divide `\frac { ( a ^ { - 4} b ^ { - 1} c ^ { 3} ) ^ { - 3} } { ( a ^ { - 2} b ^ { 5} c ^ { - 4} ) ^ { - 4} }`?

Answer 1

`(a^4*b^23)/c^25`

Explanation:

We will use that

`(a^nb^m)^p=a^(np)b^(mp)`
and

`(a^n)/b^m=a^(n-m)`
so we get

`(a^12*b^3*c^(-9))/(a^8*b^(-20)*c^16)`
simplifying further

`(a^4*b^23)/c^25`