Solution - Power equations

Step  1  :

 1.1     10000 = 24•54

(10000)¹ = (2⁴•5⁴)¹ = 2⁴ • 5⁴

Equation at the end of step  1  :

Step  2  :

            (24•54)
 Simplify   ———————
               4   

Dividing exponents :

 2.1    2⁴   divided by   2²   = 2^{(4 - 2)} = 2²

Final result :

  2500