Question

How do you divide and simplify `\frac { 9y ^ { 10} x ^ { 3} } { 11y ^ { 2} } \div \frac { 10y ^ { 6} x ^ { 4} } { 7x ^ { 3} }`?

Answer 1

`(63x^2y^2)/110`

Explanation:

`(9y^10x^3)/(11y^2)divide(10y^6x^4)/(7x^3)`

`=(9y^10x^3)/(11y^2)times(7x^3)/(10y^6x^4)`

`=(63x^6y^10)/(110x^4y^8)`

`=(63cancel(x^6)x^2cancel(y^10)y^2)/(110cancel(x^4y^8)`

`=(63x^2y^2)/110`