Solution - Power equations

Step  1  :

 1.1     10000 = 24•54

(10000)¹ = (2⁴•5⁴)¹ = 2⁴ • 5⁴

Equation at the end of step  1  :

   (24•54)
  {———————}9
      8   

Step  2  :

            (24•54)
 Simplify   ———————
               8   

Raising to a Power :

 2.1    2⁴   divided by   2³   = 2^{(4 - 3)} = 2¹ = 2

Equation at the end of step  2  :

  12509

Step  3  :

 3.1     1250 = 2•54

(1250)⁹ = (2•5⁴)⁹ = 2⁹ • 5³⁶

Final result :

  (29•536)