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Simplify
21x^6 y^5
14x^2y^9

Sagot :

Answer:

[tex]\frac{3x^{4} }{2y^{4} }[/tex]

Step-by-step explanation:

Factor out 7 from top and bottom :

[tex]\frac{7(3x^6y^5)}{7(2x^2y^9)}[/tex]

Divide top and bottom by 7 :

[tex]\frac{3x^6y^5}{2x^2y^9}[/tex]

Simplify :  

[tex]\frac{x^6}{x^4}=x^{2}[/tex]

Simplify :

[tex]\frac{y^5}{y^9} = y^{-4} = \frac{1}{y^{4} }[/tex]

Collect everything together :

[tex]\frac{3x^{4} }{2y^{4} }[/tex]

Hope this helped and have a good day

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