What is the greatest common factor of 10x^6y^4 and 20x^7y^8 ?
To find the greatest common factor, we look for the highest power that each variable divides into evenly.
For the x variable, we see that the x in 10x^6y^4 is raised to the power of 6, and the x in 20x^7y^8 is raised to the power of 7. The highest power that both x's can be divided into evenly is x^6.
For the y variable, we see that the y in 10x^6y^4 is raised to the power of 4, and the y in 20x^7y^8 is raised to the power of 8. The highest power that both y's can be divided into evenly is y^4.
Therefore, the greatest common factor of 10x^6y^4 and 20x^7y^8 is x^6y^4.
wrong
I apologize for the mistake. Let's correct it.
To find the greatest common factor, we look for the highest power that each variable divides into evenly.
For the x variable, we see that the x in 10x^6y^4 is raised to the power of 6, and the x in 20x^7y^8 is raised to the power of 7. The highest power that both x's can be divided into evenly is x^6.
For the y variable, we see that the y in 10x^6y^4 is raised to the power of 4, and the y in 20x^7y^8 is raised to the power of 8. The highest power that both y's can be divided into evenly is y^4.
Therefore, the greatest common factor of 10x^6y^4 and 20x^7y^8 is x^6y^4.