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

Algebra ->  Test -> 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      Log On


   

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) About Me  (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

--------------------------------------------------------------------------------------------------------------
If you need more help, email me at jim_thompson5910@hotmail.com

Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you

Jim
--------------------------------------------------------------------------------------------------------------

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