How do you calculate a number to the power of a fraction? (8^2/3)

When a number is raised to the power of a fraction, it is the same as rooting that number to the denominator (the number on the bottom). So if the number is raised to ½ it is the same as √ and if it is raised to ⅓ it is the same as ³√. The situation becomes more complicated when the number is raised to another power such as 2/3 but there is a simple solution to working out this problem. If we take the example 8^2/3 we can make it much easier to solve by changing the power to 1/3 by putting the whole thing in brackets with the 2 outside giving us (8^1/3)^2. We can start off by solving what is inside the brackets which is 8^1/3. We already know that when something is to the power of ⅓ it is the same as cube root so ³√8 = 2. This leaves us with 2^2 to solve which is 4. Therefore 8^2/3 = 4