Solution - Power equations

Step  1  :

 1.1     10 = 2•5

(10)⁹ = (2•5)⁹ = 2⁹ • 5⁹

Equation at the end of step  1  :

Step  2  :

              400  
 Simplify   ———————
            (29•59)

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)