Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "4.56" was replaced by "(456/100)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  456
  ——— • ((2)(-12)•(5)(-12))
  100

Step  2  :

            114
 Simplify   ———
            25 

Equation at the end of step  2  :

  114
  ——— • ((2)(-12)•(5)(-12))
  25 

Step  3  :

Multiplying exponents :

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

Dividing exponents :

 3.2    2¹   divided by   2¹²   = 2^{(1 - 12)} = 2^(-11) = ¹/_2¹¹

Final result :

      57                                      
  ————————— = 4.56000 • 10-12 
  (514•211)