SOLUTION: Hello tutor, I am a returning student and have been brushing up on my algebra, but I can't seem to crack this problem for my chem class. Could you please lay this out for me in s

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Question 1034704: Hello tutor,
I am a returning student and have been brushing up on my algebra, but I can't seem to crack this problem for my chem class. Could you please lay this out for me in steps?
(3*0.058cm^3/4pi)^1/3
in otherwords, ((3 divided by 4 pi) times 0.058 cubic cm.) and the entirety is raised to the 1/3 power.
The book gives the answer of 0.24013 cm., but I am just not getting there! I really appreciate any help. Roxanne

Found 2 solutions by Alan3354, fractalier:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
(3*0.058cm^3/4pi)^1/3
------------
Assuming 4pi is in the denominator:
--> (0.174/(4pi))^1/3
=~ 0.01384648^1/3
=~ 0.24013 cm
======================
1/3 power = cube root

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Okay, sure...have a calculator handy...we have
%28%283%2F%284%2Api%29%29+%2A+.058+%29%5E%281%2F3%29 =
Do the 3/4pi first...
%28.2388+%2A+.058%29%5E%281%2F3%29 =
then multiply that by .058
%28.01385%29%5E%281%2F3%29 =
now take the cube root (or raise it to the .333 power)
.24