SOLUTION: Simplify the eepression: (8x^6y^9)^(2/3)/(16x^8y^-4)^(1/2) I don't know weather to work this like a polynomial and divide. My problem just seems to get longer than shorter. Thank

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Simplify the eepression: (8x^6y^9)^(2/3)/(16x^8y^-4)^(1/2) I don't know weather to work this like a polynomial and divide. My problem just seems to get longer than shorter. Thank       Log On


   

Question 510533: Simplify the eepression: (8x^6y^9)^(2/3)/(16x^8y^-4)^(1/2)
I don't know weather to work this like a polynomial and divide. My problem just seems to get longer than shorter. Thank you so much for your help.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You can use the rules for exponents:
+%28a%5Eb%29%5Ec+=+a%5E%28b%2Ac%29+
+%28a%2Ab%29%5Ec+=+a%5Ec%2Ab%5Ec+
-------------------
+%288x%5E6%2Ay%5E9%29%5E%282%2F3%29%2F%2816%2Ax%5E8%2Ay%5E%28-4%29%29%5E%281%2F2%29+
(note that +8+=+2%5E3+ and +16+=+4%5E2+ )
( and +%282%5E3%29%5E%282%2F3%29+=+4+ and +%284%5E2%29%5E%281%2F2%29+=+4+ )
+%284x%5E4%2Ay%5E6%29+%2F+%284x%5E4%2Ay%5E%28-2%29%29+
+%28%284x%5E4%29+%2F+%284x%5E4%29%29%2A%28%28y%5E6%29+%2F+%28y%5E%28-2%29%29%29+
+y%5E6%2Ay%5E2+
+y%5E8+
Unless I made a mistake- I would get another opinion, too