SOLUTION: Please help me solve this equation: {{{ sqrt(x^3y^1)^3sqrt(x^5y^4)^5sqrt(x^2)=x^r*y^s }}}.

Algebra ->  Square-cubic-other-roots -> SOLUTION: Please help me solve this equation: {{{ sqrt(x^3y^1)^3sqrt(x^5y^4)^5sqrt(x^2)=x^r*y^s }}}.      Log On


   

Question 488843: Please help me solve this equation: +sqrt%28x%5E3y%5E1%29%5E3sqrt%28x%5E5y%5E4%29%5E5sqrt%28x%5E2%29=x%5Er%2Ay%5Es+.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+sqrt%28x%5E3y%5E1%29%5E3sqrt%28x%5E5y%5E4%29%5E5sqrt%28x%5E2%29+=+x%5Er%2Ay%5Es+

square both sides
+%28x%5E3y%5E1%29%5E3%2A%28x%5E5y%5E4%29%5E5%2A%28x%5E2%29+=+x%5E%282r%29%2Ay%5E%282s%29+
+x%5E9%2Ay%5E3%2Ax%5E25%2Ay%5E20%2Ax%5E2+=+x%5E%282r%29%2Ay%5E%282s%29+
+x%5E%289+%2B+25+%2B+2%29%2Ay%5E%283+%2B+20%29+=+x%5E%282r%29%2Ay%5E%282s%29+
+x%5E36%2Ay%5E23+=+x%5E%282r%29%2Ay%5E%282s%29+
+y%5E%282s%29+%2F+y%5E23+=+x%5E36+%2F+x%5E%282r%29+
+y%5E%282s+-+23%29+=+x%5E%2836+-+2r%29+
--
+y+=+x%5E%28%2836+-+2r%29%2F%282s+-+23%29%29+
Hope I got it