Question

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

Answer 1

Answer:

$\frac{3x^{4} }{2y^{4} }$

Step-by-step explanation:

Factor out 7 from top and bottom :

$\frac{7(3x^6y^5)}{7(2x^2y^9)}$

Divide top and bottom by 7 :

$\frac{3x^6y^5}{2x^2y^9}$

Simplify :  

$\frac{x^6}{x^4}=x^{2}$

Simplify :

$\frac{y^5}{y^9} = y^{-4} = \frac{1}{y^{4} }$

Collect everything together :

$\frac{3x^{4} }{2y^{4} }$

Hope this helped and have a good day