SOLUTION: Write the expression in the simplest form using the properties of radicals 3√81/5√729 IT SAYS (81) to the 1/3 power divided by (729) to the 1/5 power

Algebra ->  Rational-functions -> SOLUTION: Write the expression in the simplest form using the properties of radicals 3√81/5√729 IT SAYS (81) to the 1/3 power divided by (729) to the 1/5 power      Log On


   

Question 178026: Write the expression in the simplest form using the properties of radicals
3√81/5√729
IT SAYS (81) to the 1/3 power divided by (729) to the 1/5 power
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(81) to the 1/3 power divided by (729) to the 1/5 power
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81^(1/3) = 3*(3^(1/3))
729^(1/5) = [3^(6)]^(1/5) = 3*(3^(1/5))
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Dividing you get [3*(3^(1/3))] / [3*(3^(1/5))]
The "3" factors cancel and you need to subtract the exponents to get:
= 3^(1/3 - 1/5)
= 3^(2/15)
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Cheers,
Stan H.