Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "2.5" was replaced by "(25/10)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  25
  —— • ((2)(-9)•(5)(-9))
  10

Step  2  :

            5
 Simplify   —
            2

Equation at the end of step  2  :

  5
  — • ((2)(-9)•(5)(-9))
  2

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2⁹   = 2^{(1 + 9)} = 2¹⁰

Dividing exponents :

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

Final result :

      1                                     
  ———————— = 2.50000 • 10-9 
  (210•58)