Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "5.44" was replaced by "(544/100)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  544
  ——— • ((2)(-12)•(5)(-12))
  100

Step  2  :

            136
 Simplify   ———
            25 

Equation at the end of step  2  :

  136
  ——— • ((2)(-12)•(5)(-12))
  25 

Step  3  :

Multiplying exponents :

 3.1    5²  multiplied by  5¹²   = 5^{(2 + 12)} = 5¹⁴

Dividing exponents :

 3.2    2³   divided by   2¹²   = 2^{(3 - 12)} = 2^(-9) = ¹/_2⁹

Final result :

     17                                      
  ———————— = 5.44000 • 10-12 
  (514•29)