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

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Question 73975: Please help me solve this
(y^5)^3(y^3)^2
over
(y^4)^4
Answer by ffc_01(9) About Me  (Show Source):
You can put this solution on YOUR website!
(y^5)=(y)(y)(y)(y)(y)
(y^5)^3=(yyyyy)^3=(yyyyy)(yyyyy)(yyyyy)=(yyyyyyyyyyyyyyy)=y^15
When and exponent is raised to another exponent just multiply the exponents
%28%28y%5E5%29%5E3%28y%5E3%29%5E2%29%2F%28%28y%5E4%29%5E4%29
%28%28y%5E15%29%28y%5E6%29%29%2F%28y%5E16%29
When multiplying numbers with the same base and different exponents add the exponents
(y^15)(y^6)=(yyyyyyyyyyyyyyy)(yyyyyy)=(yyyyyyyyyyyyyyyyyyyyy)=y^21
Back to your problem...
%28%28y%5E15%29%28y%5E6%29%29%2F%28y%5E16%29
%28y%5E21%29%2F%28y%5E16%29
When dividing numbers with the same base and different exponents subtract the exponents. Remember which one you start with.
%28y%5E21%29%2F%28y%5E16%29= %28yyyyyyyyyyyyyyyyyyyyy%29%2F%28yyyyyyyyyyyyyyyy%29=y%5E5
Be careful because if the smaller exponent is on top your answer would be a fraction...
For example
(x^3)/(x^5)=1/(x^2)