SOLUTION: Write the expression in simpliest form using the proprities of radicals 3√125/3√54 IT SAYS (125)to the 1/3 power divided by (54) to the 1/3 power PLEASE HELP ME!

Algebra ->  Rational-functions -> SOLUTION: Write the expression in simpliest form using the proprities of radicals 3√125/3√54 IT SAYS (125)to the 1/3 power divided by (54) to the 1/3 power PLEASE HELP ME!      Log On


   

Question 178016: Write the expression in simpliest form using the proprities of radicals
3√125/3√54
IT SAYS (125)to the 1/3 power divided by (54) to the 1/3 power
PLEASE HELP ME!!
Answer by gonzo(654) About Me  (Show Source):
You can put this solution on YOUR website!
125 = 5*5*5
54 = 2 * 27 = 2 * 3 * 3 * 3
cube root of 125 is 5
cube root of 54 is cube root of (2*3*3*3) = 3 times cube root of 2.
i would say your answer would be:
5%2F%283%2Aroot%283%2C2%29%29
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it checks out and can't be reduced any further as far as i can tell.
cube root of a number cubed is the number.
%285%5E3%29%5E%281%2F3%29+=+5%5E%283%2A%281%2F3%29%29+=+5%5E1+=+5
similarly,
%283%5E3%29%5E%281%2F3%29+=+3%5E%283%2A%281%2F3%29%29+=+3%5E1+=+3
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