How Do We Solve Fractional Exponent Equations ?

To solve fractional rational exponents you have to get the variable and exponent alone before first.

 Let's use :  x^4/3 - 6 = 10 .

The first step is to add 6 to both sides to get x^4/3 by itself .
        The equation now looks like : x^4/3 = 16
The next step is to find the reciprocal of the exponent ( 4/3 ) and multiply it to both sides. This gets x by its self.

       Visual :  (x^4/3) (3/4) = 16 (3/4)
                          x = 16 ^ (3/4)
Next you have break up the exponent. You do this by putting 16 ^ (1/4) first. Then squaring that by 3.

           Visual :                               16^ (1/4) = 2.
                                            2^3 = 8 
                                 Your final answer is 8 . 

Now Try It Yourself :
                                        8^(2/3)

* Remember : (1/2) = square roots 
                        (1/3) - cubed root