Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "6.56" was replaced by "(656/100)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  656
  ——— • ((2)(-9)•(5)(-9))
  100

Step  2  :

            164
 Simplify   ———
            25 

Equation at the end of step  2  :

  164
  ——— • ((2)(-9)•(5)(-9))
  25 

Step  3  :

Multiplying exponents :

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

Dividing exponents :

 3.2    2²   divided by   2⁹   = 2^{(2 - 9)} = 2^(-7) = ¹/_2⁷

Final result :

     41                                     
  ———————— = 6.56000 • 10-9 
  (511•27)