Simplifying numerical expressions with rational exponents

We can write this as either :

(27^4)^(1/3)    or    as     [27^(1/3)] ^4

The second is easier to evaluate

27^(1/3)   =   the cuberoot of 27  = 3

So

[3^4]   = 81

You can split the fraction in the exponent into different parts.

Just like (X^3)*(X^2) = x^(3+2) = x^5

do it backwards to split.

27^(4/3) = (27^1)*(27^(1/3)) = 27 * cuberoot(27)

or just do cuberoot(27^4)

its all mathematically the same 

How do you simplify numerical expressions with rational exponents? Example 27^4/3

27^4/3=(3^3)^4/3=3^4