Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "1.25" was replaced by "(125/100)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

        125
  0 -  (——— • ((2)(-9)•(5)(-9)))
        100

Step  2  :

            5
 Simplify   —
            4

Equation at the end of step  2  :

        5
  0 -  (— • ((2)(-9)•(5)(-9)))
        4

Step  3  :

Multiplying exponents :

 3.1    2²  multiplied by  2⁹   = 2^{(2 + 9)} = 2¹¹

Dividing exponents :

 3.2    5¹   divided by   5⁹   = 5^{(1 - 9)} = 5^(-8) = ¹/_5⁸

Equation at the end of step  3  :

           1   
  0 -  ————————
       (211•58) 

Step  4  :

Final result :

     -1                                      
  ———————— = -1.25000 • 10-9 
  (211•58)