Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "6.25" was replaced by "(625/100)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  625
  ——— • ((2)(-9)•(5)(-9))
  100

Step  2  :

            25
 Simplify   ——
            4 

Equation at the end of step  2  :

  25
  —— • ((2)(-9)•(5)(-9))
  4 

Step  3  :

Multiplying exponents :

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

Dividing exponents :

 3.2    5²   divided by   5⁹   = 5^{(2 - 9)} = 5^(-7) = ¹/_5⁷

Final result :

      1                                     
  ———————— = 6.25000 • 10-9 
  (211•57)