Respuesta :

Answer:

Given that:  [tex]\frac{12v^5z^{-23}v^5z^4}{-4v^3z^2}[/tex]

Using exponent rules;

  • [tex]\frac{a^n}{a^m} =a^{n-m}[/tex]
  • [tex]a^n \cdot a^m = a^{n+m}[/tex]

Apply this rules on the given expression:

[tex]\frac{12v^5z^{-23}v^5z^4}{-4v^3z^2}[/tex] = [tex]\frac{12v^{5+5} z^{-23+4}}{-4v^3z^2}[/tex]

or

[tex]\frac{12v^{10} z^{-19}}{-4v^3z^2}[/tex] =  [tex]-3v^{10-3}z^{-19-2}[/tex]

Simplify:

[tex]-3v^{7}z^{-21}[/tex]

Therefore, the simplified form of  [tex]\frac{12v^5z^{-23}v^5z^4}{-4v^3z^2}[/tex] is,  [tex]-3v^{7}z^{-21}[/tex]