Need some guidance!!!!!!!!

1)Simplify the following leaving the answer in index form:

a.(53)2

b.(m3)3

c.(a3b3)2

2)Determine the value of:

a)3-3

b)2-4

c)27-1/3

d)125-2/3

3)Solve the following:

a)23x = 128

b)32x = 243

c)54x = 625

4)a) 82x = 1

64

b) 252x = 1

125

c) 493x = 1

343