Solution - Power equations

Step  1  :

 1.1     1024 = 210

(1024)¹ = (2¹⁰)¹ = 2¹⁰

Equation at the end of step  1  :

Step  2  :

            210
 Simplify   ———
            10 

Dividing exponents :

 2.1    2¹⁰   divided by   2¹   = 2^{(10 - 1)} = 2⁹

Final result :

  512             
  ——— = 102.40000 
   5