1. x^1/3 = 32/ sqrt x 1/3 is the exponent

2. if 9^x - 9^x-1 = 216, find 4^x x-1 is the exponent.

3. find the inverse function of f(x) = 3sqrt (x + 1) ( on the left side of square root it has

3 slightly on top so i guess it means whatever sqrt of x + 1 is it's to the power of 3.

4. rationalize the denominator

5x/sqrt (x) - sqrt (2x-5)

5. prove that x-s-t is a factor of x^3 - s^3 - t^3 - 3st(s + t)

6. express 2 sqrt 18 + sqrt 12 / sqrt 18 + 3 sqrt(12) 2 and 3 is multiplying

7. if f:x ~~> 2/x, find the value of f(x + a) - f(x) / a

i know this is a lot of questions, but my math teacher is extremely unhelpful and she tells us to do questions that she never taught before. i have no idea how to even start off for those problems so id prefer if someone can give the final answers also rather than hints etc cuz i don't think i can do them on my own. They look complicated and we've never done them in class and i don't know the rules regarding exponets etc.