Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-10" was replaced by "^(-10)".

(2): "3.12" was replaced by "(312/100)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  312
  ——— • ((2)(-10)•(5)(-10))
  100

Step  2  :

            78
 Simplify   ——
            25

Equation at the end of step  2  :

  78
  —— • ((2)(-10)•(5)(-10))
  25

Step  3  :

Multiplying exponents :

 3.1    5²  multiplied by  5¹⁰   = 5^{(2 + 10)} = 5¹²

Dividing exponents :

 3.2    2¹   divided by   2¹⁰   = 2^{(1 - 10)} = 2^(-9) = ¹/_2⁹

Final result :

     39                                      
  ———————— = 3.12000 • 10-10 
  (512•29)