SOLUTION: I think I am doing this problem wrong. If I am can you help me to find the mistake I am making? simplify (10y^7)^4 (6y^-8)^-3 This is multiplication and what I have so far is 1

Algebra ->  Exponents -> SOLUTION: I think I am doing this problem wrong. If I am can you help me to find the mistake I am making? simplify (10y^7)^4 (6y^-8)^-3 This is multiplication and what I have so far is 1      Log On


   

Question 394215: I think I am doing this problem wrong. If I am can you help me to find the mistake I am making?
simplify (10y^7)^4 (6y^-8)^-3 This is multiplication and what I have so far is
10^4(y^7)^4(1/6)^3(1/y^8)^3 then I got
10000y^11(1/216)(1/y^11)
I feel like that is not right please let me know what I am doing wrong. I have checked the book and I'm not understanding it a whole lot.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
simplify
%2810y%5E7%29%5E4+%286y%5E-8%29%5E-3
= 10000y%5E28%2A%28y%5E24%2F216%29
= 10000y%5E52%2F216
= 1250y%5E52%2F27
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You added the exponents where you should have multiplied.
%28y%5E7%29%5E4+=+y%5E28
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This is multiplication and what I have so far is
10^4(y^7)^4(1/6)^3(1/y^8)^3 then I got
10000y^11(1/216)(1/y^11)