SOLUTION: Simplify the radical. Assume that the variable represents a positive real number (a^3/729)^1/3 9/a a^1/3 /9 a^3/9 a/9 Is the answer a^3/9 right? Thank you

Question 644908: Simplify the radical. Assume that the variable represents a positive real number
(a^3/729)^1/3
9/a
a^1/3 /9
a^3/9
a/9
Is the answer a^3/9 right? Thank you
Found 2 solutions by jim_thompson5910, Alan3354:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
((a^3)/729)^1/3

[(a^3)^(1/3)]/[(729)^1/3]

[a^(3*1/3)]/[(729)^1/3]

[a^(3/3)]/[(729)^1/3]

[a^1]/[(729)^1/3]

a/[(729)^1/3]

a/9

So the final answer is a/9

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Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
(a^3/729)^1/3
729 = 9^3
--> a/9
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