SOLUTION: Please help me solve this equation ((( -5y^4(y^5)^2 over 15y^7(y^2)^3

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Question 252984: Please help me solve this equation ((( -5y^4(y^5)^2 over 15y^7(y^2)^3
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
your formula is:

%28-5y%5E4%2A%28y%5E5%29%5E2%29+%2F+%2815y%5E7%2A%28y%5E2%29%5E3%29

%28y%5E5%29%5E2+=+y%5E%285%2A2%29+=+y%5E10

-5%2Ay%5E4%2Ay%5E10+=+-5%2Ay%5E%284%2B10%29+=+-5%2Ay%5E14

%28y%5E2%29%5E3+=+y%5E%282%2A3%29+=+y%5E6

15%2Ay%5E7%2Ay%5E6+=+15%2Ay%5E%287%2B6%29+=+15%2Ay%5E%2813%29

your equation becomes:

%28-5%2Ay%5E14%29%2F%2815%2Ay%5E13%29

y%5E14%2Fy%5E13+=+y%5E%2814-13%29+=+y

your equation becomes:

%28-5%2Ay%29%2F%2815%29 which becomes:

-y%2F3

to confirm, let y be any value.

try 5.

original equation is:

%28-5y%5E4%2A%28y%5E5%29%5E2%29+%2F+%2815y%5E7%2A%28y%5E2%29%5E3%29

when y = 5, this equation becomes:



this becomes:

-3.051757813%5E10+%2F+1.831054688%5E10+=+-1.6666666667+=+-5%2F3

final equation is:

-y%2F3

this becomes:

-%285%29%2F3

the answers are the same confirming the final equation is equivalent to the original equation.