SOLUTION: If {{{ (1/125)^(a^2+4ab) = ( 625^(1/3) )^(3a^2-10ab) }}} and if a and b do not equal 0, find {{{ a/b }}} .
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Question 1060615: If and if a and b do not equal 0, find .
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
1/125^(aČ+4ab)=(625^(1/3))^(3aČ-10ab)
(5^-3)^(aČ+4ab)=((5^4)^(1/3))^(3aČ-10ab)
5^(-3aČ-12ab)=5^4aČ-40ab/3
-3aČ-12ab=4aČ-(40ab/3)
-9aČ-36ab=12aČ-40ab
4ab=21aČ
4b=21a
21a/b=4
a/b=4/21. ☺☺☺☺
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