If F(X) is defined as 3X^(2/3), what is the value of F(-8)?

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To find the value of F(-8) for the function F(X) = 3X^(2/3), we first need to substitute -8 for X in the function. This gives us:

F(-8) = 3 * (-8)^(2/3).

Now, let's break down the expression (-8)^(2/3):

The power of 2/3 can be interpreted as first taking the cube root and then squaring the result. So, we can rewrite (-8)^(2/3) as [(-8)^(1/3)]^2.
The cube root of -8 is -2, since (-2) * (-2) * (-2) = -8.
Now, squaring -2 gives us (-2)^2 = 4.

Putting it all together, we have:

F(-8) = 3 * 4 = 12.

Therefore, the value of F(-8) is correctly calculated as 12. This matches the value given in the choice labeled "C."