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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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)]^-3
Answer by mollukutti(30) About Me  (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)