Verified answer

I hope you still need help with this :)

so set it up

5x^2y^3 23x^5y

_______÷ _______

3a^5b^4 42^a7b^3

to divide this you need to flip the one on the right and make it into muliplication

this is what it will look like now....

**Note: You can also simply criss cross on the original setup above to multipy but I thought this other method would be easier for you to see)

5x^2y^3 42^a7b^3

_______x _______

3a^5b^4 23x^5y

now you across multiply..it will be like this

(5x^2y^3)(42^a7b^3)

_______________

(3a^5b^4)(23x^5y )

now multiply 5x42 and just add the a b x y with their exponents in order do the same to the bottom

you should get

210 a^7 b^3 x^2 y^2

______________

69 a^5 b^4 x^5 y

now you have to simplify find the LCD (least common denominator) which in this case is 3 a^5 b^3 x^2 y

so divide 3 into 210 and 69...when you divide exponents you subtract and keep it where the highest exponent is. so if we do this we get

70 a^2 y^2

________

23 b x^3

That will be the answer because there is no longer an LCD because no common numbers can be divided into it. Its already as simplify as it can be.

I hope this helped.