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  :

  500 • ((2)(-9)•(5)(-9))

Step  2  :

Dividing exponents :

 2.1    2²   divided by   2⁹   = 2^{(2 - 9)} = 2^(-7) = ¹/_2⁷

Dividing exponents :

 2.2    5³   divided by   5⁹   = 5^{(3 - 9)} = 5^(-6) = ¹/_5⁶

Final result :

     1                                     
  ——————— = 5.00000 • 10-7 
  (27•56)