Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  400 • ((2)(-9)•(5)(-9))

Step  2  :

Dividing exponents :

 2.1    2⁴   divided by   2⁹   = 2^{(4 - 9)} = 2^(-5) = ¹/_2⁵

Dividing exponents :

 2.2    5²   divided by   5⁹   = 5^{(2 - 9)} = 5^(-7) = ¹/_5⁷

Final result :

     1                                     
  ——————— = 4.00000 • 10-7 
  (25•57)