Question

Simplify your answer as much as possible.
(12v^5z-23v^5z^4)/(-4v^3z^2)

Answer 1

Given that:
`(12v^5z^(-23)v^5z^4)/(-4v^3z^2)`

Using exponent rules;

• 
  `(a^n)/(a^m) =a^(n-m)`

• 
  `a^n \cdot a^m = a^(n+m)`

Apply this rules on the given expression:

`(12v^5z^(-23)v^5z^4)/(-4v^3z^2)` =
`(12v^(5+5) z^(-23+4))/(-4v^3z^2)`

or

`(12v^(10) z^(-19))/(-4v^3z^2)` =
`-3v^(10-3)z^(-19-2)`

Simplify:

`-3v^(7)z^(-21)`

Therefore, the simplified form of
`(12v^5z^(-23)v^5z^4)/(-4v^3z^2)` is,
`-3v^(7)z^(-21)`