simplify solutions that are undefined

Question

Did I solve these solutions correctly,

 

 

1.  12^a^5                        2                                         2

        6a         =              1^a^5 - a            =              1^a^4                          =   2^a^4

 

 

2.  35a^3y^3                 =   35    (x^3)   (y^3)                            5         ( x)        ( 1 )   =   5x

     7x^2y^4                         7     (x^2)   (y^4)       =                  1         ( 1 )        ( y)         1y

 

 

Would you help me with,

 

Assuming that none of the sultions are underfined, simply:

 

a^2b^2c

   abc

 

 

a^2^mb^m^+^1

       a^mb

 

 

thanks

Answer 1

1. (12^a^5)/(6a) has no simplification;

 

however, if it is supposed to be:

 

((12^a)^5)/(6^a) = (12^5)^a/6^a

 

= (12^5/6)^a

 

= 41472^a

 

2. You did it right, if the a is supposed to be an x.

 

-----

 

(a^2 b^2 c)/(a b c) = a^(2-1) b^(2-1) c^(1-1) = a b

 

( ( ( (a^2)^(mb) )^m)^(+1) )/(a^(mb))

= ( ( a^(2mb) )^m)/(a^(mb))

= a^(2bm^2)/(a^(mb))

= a^(2bm^2–mb)

 

 

Answer 2

1) 12a^5/6a=(12/6)(a^5/a)=2(a^[5-1])=2(a^4)=2a^4

2) correct; 5x/y (you don't need the 1)

 

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

 

the second one doesn't look like it's copied correctly; check it again