Question 966121



the multiplication symbols have been inserted where i think they belong.
this makes it easiwer to see what's going on from my perspective.
you are free to put them in or take them out at your discretion.


30*x^6*y^2
----------
45*x^-1*y 


the x^-1 in the denominator goes to the numerator and becomes x^1 which becomes x.


the expression becomes:


30*x^6*y^2*x
----------
45*y 


x^6 * x in the numerator becomes x^7.


the expression becomes:


30*x^7*y^2
----------
45*y 


y^2 in the numerator divided by y in the denominator becomes y^1 in the numerator which becomes y.


the expression becomes:


30*x^7*y
----------
45


30 in the numerator divided by 45 in the denominator simplifies to 2 in the numerator divided by 3 in the denominator.


the expression becomes:


2*x^7*y
----------
3


you can confirm that you did it correctly by giving any value to x and any value to y and then evaluatiing the original equation and the final equation to see if the answers are the same.


i used x = 5 and y = 9


from the original equation, i get:


30*x^6*y^2
----------
45*x^-1*y 


becomes:


30*5^6*9^2
----------
45*5^-1*9 


this evaluates to 37968750 / 81 which becomes 468750.


from the final equation, i get:


2*x^7*y
------
3


becomes:


2*5^7*9
------
3


this evaluates to 1406250 / 3 which becomes 468750.


the original equation and the final equation give me the same answer, so i assume that i did the simplification correctly.


your solution is:


2*x^7*y
------
3


this can also be shown as:


2x^7y
------
3