Answer:
[tex]g^{3}h[/tex] is the correct simplified expression.
Step-by-step explanation:
The given expression is [tex]\frac{g^{5}h^{4}}{g^{2}h^{3}}[/tex]
We have to simplify this expression further
= [tex]g^{5} h^{4} g^{-2} h^{-3}[/tex] [ since [tex]\frac{1}{x}=x^{-1}[/tex] ]
= [tex]g^{(5-2)} h^{(4-3)}[/tex] [ [tex]x^{a}x^{b}=x^{(a+b)}[/tex] ]
= [tex]g^{3}h[/tex]
Therefore, [tex]g^{3}h[/tex] is the correct simplified form of the given expression.
