Question

Please help asap!! I think D is one of the answers but i'm not sure

Answer 1

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.

$x^\frac{3}{2} =(x^3)^\frac{1}{2}$

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.

Answer 2

B,D,E are most likely the right answers