Question 48119
Radicals and rational exponents are two ways of writing the same problem.  In a rational exponent, the numerator is the "power" or degree and the denominator is the "radical".  
For example:
{{{(x^(3/2))}}}
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For the exponent of (3/2) =  3 (power)/2 (radical) or  take the 2nd or "square" root of x and than raise the entire radical to the 3rd power.

{{{(x^(3/2))}}} = {{{(sqrt(x))^3)}}}

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.Another example of this relationship is with fractions and division.  Fractions and division are really the same operation, just written differently.
For example:
10/5 = 2 is the same as 10 divided by 5 = 2.