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Answer :

Answer:

[tex]\frac{-3xy}{z^{2} }[/tex]

Step-by-step explanation:

[tex]\frac{-24x^{2}y^{5}z}{8xy^{4}z^{3} }[/tex]

Lets divide like terms

-24/8 = -3

[tex]x^{2}[/tex]/[tex]x^{1}[/tex] = [tex]x^{1}[/tex]

[tex]y^{5}[/tex]/[tex]y^{4}[/tex] = [tex]y^{1}[/tex]

[tex]z^{1}[/tex]/[tex]z^{3}[/tex] = [tex]z^{-2}[/tex]

After diving like terms you are left with:

[tex]\frac{-3xy}{z^2}[/tex]