Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-1" was replaced by "^(-1)". 1 more similar replacement(s)

Step  1  :

 1.1     144 = 24•32

(144)^-3 = (2⁴•3²)^(-3) = (2)^(-12) • (3)^(-6)

Equation at the end of step  1  :

   ((2)(-12)•(3)(-6)) 
  {——————————————————}-1 ÷ 6
           2         

Step  2  :

             1         
 Divide  ————————  by  2
         (212•36)       

Multiplying exponents :

 2.1    2¹²  multiplied by  2¹   = 2^{(12 + 1)} = 2¹³

Equation at the end of step  2  :

     (1   
 (————————)-1) ÷ 6
  (213•36) 
 Step  3  :
                  1              
 Divide  ——————————————————  by  6
         ((2)(-13)•(3)(-6))       

Dividing exponents :

 3.1    2¹³   divided by   2¹   = 2^{(13 - 1)} = 2¹²

Dividing exponents :

 3.2    3⁶   divided by   3¹   = 3^{(6 - 1)} = 3⁵

Final result :

  (212•35)