Help me with these Trigonometry Problems

Question

Please do provide a step-by-step solution and final answers

Simplify following expression and use positive exponents only:

1. √8/1-√3x
2. √z(2)^5/z√2
3. √400x^4
4. (12^3m^33/4^-3)^2
5. w^3/2 √32 - w^3/2 √50
6. 14√6 - 6√24
7. √225x^3/49x
8. (w^0x^5)^-1
9. ((ab^2c)^-3/b^-3)^2

Answer 1

It's unclear where implicit parentheses may be in many of the problems They're ambiguous

But here's an attempt to decipher them, and some answers. No guarantees they're correct.

Number 1 is the most difficult, as however it's interpreted, it seems to have no real

"simplification"

1 (2sqr2)(1+sqr(3x)/(1-3x)

at least that rationalizes the denominator if not much else

2 4/sqr(z) or 4sqr(z)/z

3 20x^2

4 ((46m)^3)^2

= (1.22306 x 10^10)m^66

5 w^(3/2)[sqr32-sqr50]

=-(2^(1/2)(w^(3/2)

=-w(2w)^(1/2)

6 2sqr6

7 15x/7

8 1/x^5

9 [(ab^2c)^-3/b^-3]^2

= (b^2)/(a^2)(c^2)