# SOLUTION: How would I solve this problem given assume all variables represent positive numbers.Write answers with positive exponents only. [(a^-1/2) / (3a^2/3)]^-3

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 Click here to see ALL problems on Exponents Question 309037: How would I solve this problem given assume all variables represent positive numbers.Write answers with positive exponents only. [(a^-1/2) / (3a^2/3)]^-3Answer by mollukutti(30)   (Show Source): You can put this solution on YOUR website![(a^-1/2) / (3a^2/3)]^-3 = (a^-1/2)^-3 / (3a^2/3)^-3 = a^3/2 /(3^-3 x a^-2) = a^3/2 x 3^3 x a^2 = 27 a^7/2 (add the exponents 3/2 and 2 of the variable a)