Answer:
[tex]\frac{3x^{4} }{2y^{4} }[/tex]
Step-by-step explanation:
[tex]\frac{21x^{6}y^{5} }{14x^{2}y^{9} }[/tex]
→ First simplify the numbers
[tex]\frac{3x^{6}y^{5} }{2x^{2}y^{9} }[/tex]
→ Now simplify the x powers, remember when dividing indices, you subtract them away from each other so,
[tex]\frac{3x^{4}y^{5} }{2y^{9} }[/tex]
→ Now simplify the y powers, remember when dividing indices, you subtract them away from each other so,
[tex]\frac{3x^{4} }{2y^{4} }[/tex]
