Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-7" was replaced by "^(-7)".

(2): "9.728" was replaced by "(9728/1000)".

Step  1  :

 1.1     10 = 2•5

(10)^-7 = (2•5)^(-7) = (2)^(-7) • (5)^(-7)

Equation at the end of step  1  :

  9728
  ———— • ((2)(-7)•(5)(-7))
  1000

Step  2  :

            1216
 Simplify   ————
            125 

Equation at the end of step  2  :

  1216
  ———— • ((2)(-7)•(5)(-7))
  125 

Step  3  :

Multiplying exponents :

 3.1    5³  multiplied by  5⁷   = 5^{(3 + 7)} = 5¹⁰

Dividing exponents :

 3.2    2⁶   divided by   2⁷   = 2^{(6 - 7)} = 2^(-1) = ¹/_2¹ = ¹/₂

Final result :

     19                                    
  ——————— = 9.72800 • 10-7 
  (510•2)