please help me solve for 0
Diana, you could rewrite your problem like so (when you have a negative exponent in the numerator, take the reciprocal of it to make it positive in the denominator):
3(x+1)-2/3 = 3/(x+1)2/3
so now we have 3/(x+1)2/3 = 0
Now we have it as a fraction, with numerator 3 and denominator (x+1)2/3. From here we can see that no value of x will give us an answer of 0 - since there is no denominator that will yield an answer of zero when divided into 3.
The only way a fraction can be equal to zero is if the numerator is equal to zero (but not also the denominator, as 0/0 is undefined).
Edit: I removed the solution I gave earlier.
Diana, you should check that you wrote down the question correctly, as this doesn't seem like the sort of problem you would find in an algebra class.