Answer: B, D, and maybe E. Check my explanation for 'E'
Step-by-step explanation:
There are a few ways of visualizing the expression, but Ill try to show it to easiest way possible.
Notice nothing was changed because of the property of exponents. An exponent to a power means to multiply them. A thing you should remember for all future cases is that the one-half power means square root. It is the exact same thing. Therefore the new expression I created is the square root of 'x' cubed.
A:) This would be equivalent to x^2/3
B:) This is equivalent to x^3/2 because the square root is the 1/2 power to the power of 3.
C:) This would be equivalent to x^2/3
D:) This is equivalent to x^3/2 because the square root is the 1/2 power, but multiplied by the power under the radical.
E:) If this answer is to the third power, then it is equivalent. I cannot tell from this picture.