Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-12" was replaced by "^(-12)".

Step  1  :

 1.1     10 = 2•5

(10)^-12 = (2•5)^(-12) = (2)^(-12) • (5)^(-12)

Equation at the end of step  1  :

      ((2)(-12)•(5)(-12)) 
  6 • ———————————————————
               2         

Step  2  :

             1          
 Divide  —————————  by  2
         (212•512)       

Multiplying exponents :

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

Equation at the end of step  2  :

          1    
  6 • —————————
      (213•512) 

Step  3  :

Dividing exponents :

 3.1    2¹   divided by   2¹³   = 2^{(1 - 13)} = 2^(-12) = ¹/_2¹²

Final result :

      3                                       
  ————————— = 3.00000 • 10-12 
  (212•512)