Solution - Power equations

Step  1  :

 1.1     10 = 2•5

(10)⁶ = (2•5)⁶ = 2⁶ • 5⁶

Equation at the end of step  1  :

Step  2  :

             204800
 Simplify   ———————
            (26•56)

Dividing exponents :

 2.1    2¹³   divided by   2⁶   = 2^{(13 - 6)} = 2⁷

Dividing exponents :

 2.2    5²   divided by   5⁶   = 5^{(2 - 6)} = 5^(-4) = ¹/_5⁴

Final result :

  128           
  ——— = 0.20480 
  625