Solution - Power equations

Step  1  :

 1.1     10000 = 24•54

(10000)³ = (2⁴•5⁴)³ = 2¹² • 5¹²

Equation at the end of step  1  :

Step  2  :

            (212•512) 
 Simplify   —————————
                4    

Dividing exponents :

 2.1    2¹²   divided by   2²   = 2^{(12 - 2)} = 2¹⁰

Final result :

  (210•512)