Respuesta :

Answer:

3f³/g²

Step-by-step explanation:

√(900f^6/100g^4) =√(9f^6/g^4)=3f³/g²

Answer:

[tex][3f^{3}g^{-2}][/tex]

Step-by-step explanation:

The given expression is [tex]\sqrt{\frac{900f^{6} }{100g^{4}}}[/tex]

We can rewrite the expression as [tex]\sqrt{\frac{(30f^{3})^{2}}{(10g^{2})^{2}}}[/tex]

Now we can remove the radical of the expression =  [tex]\frac{30f^{3} }{10g^{2} }[/tex]

= [tex][\frac{3f^{3} }{g^{2}}][/tex]

= [tex][3f^{3}g^{-2}][/tex]

= [tex][3f^{3}g^{-2}][/tex] is the answer.