Question 178016
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/(3*root(3,2))}}}
---
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.
{{{(5^3)^(1/3) = 5^(3*(1/3)) = 5^1 = 5}}}
similarly,
{{{(3^3)^(1/3) = 3^(3*(1/3)) = 3^1 = 3}}}
---