Question 1012053
cubed root of 9 divided by the 5th root of 27
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{{{root(3,9)/root(5,27)}}}

= {{{root(3,9)*root(5,9)/root(5,243)}}}
= {{{root(3,9)*root(5,9)/3}}}
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= {{{root(15,9^8)/3}}}
= {{{root(15,3^16)/3}}}
= {{{3root(15,3)/3}}}
= {{{root(15,3)}}}
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Or
= {{{3^(2/3)/3^(3/5)}}}
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= {{{3^(2/3 - 3/5) = 3^(1/15)}}}
= {{{root(15,3)}}}