Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-9" was replaced by "^(-9)".

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

Step  1  :

 1.1     10 = 2•5

(10)^-9 = (2•5)^(-9) = (2)^(-9) • (5)^(-9)

Equation at the end of step  1  :

  312
  ——— • ((2)(-9)•(5)(-9))
  100

Step  2  :

            78
 Simplify   ——
            25

Equation at the end of step  2  :

  78
  —— • ((2)(-9)•(5)(-9))
  25

Step  3  :

Multiplying exponents :

 3.1    5²  multiplied by  5⁹   = 5^{(2 + 9)} = 5¹¹

Dividing exponents :

 3.2    2¹   divided by   2⁹   = 2^{(1 - 9)} = 2^(-8) = ¹/_2⁸

Final result :

     39                                     
  ———————— = 3.12000 • 10-9 
  (511•28)