What could be the value of x in the following equation? Select all that apply.

To find the possible values of ( x ) in the equation, we can analyze the provided options:

1. -1/5: This is a valid value.
2. -3√(1/125): First, simplify ( 1/125 ) which is ( 1/5^3 ), so ( sqrt{1/125} = 1/5^{3/2} = 1/5sqrt{5} ). Thus, (-3sqrt{1/125} = -3 cdot (1/5sqrt{5})), which is valid as it simplifies to a specific numerical value.
3. 3√(1/125): Similar to the above, ( 3sqrt{1/125} ) is also valid and simplifies to ( 3 cdot (1/5sqrt{5}) ).
4. 1/5: This is also a valid value.

Based on simplifications, the values of ( x ) could be:

– -1/5

– -3√(1/125)

– 3√(1/125)

– 1/5

So all options listed are valid for the equation.