Solution - Power equations

Step  1  :

 1.1     100 = 22•52

(100)³ = (2²•5²)³ = 2⁶ • 5⁶

Equation at the end of step  1  :

Step  2  :

            (26•56)
 Simplify   ———————
               2   

Dividing exponents :

 2.1    2⁶   divided by   2¹   = 2^{(6 - 1)} = 2⁵

Final result :

  (25•56)