Solution - Simplification or other simple results

Step  1  :

 1.1     10 = 2•5

(10)¹¹ = (2•5)¹¹ = 2¹¹ • 5¹¹

Equation at the end of step  1  :

  (5 • (211•511)) -  2500

Step  2  :

Multiplying exponents :

 2.1    5¹  multiplied by  5¹¹   = 5^{(1 + 11)} = 5¹²

Equation at the end of step  2  :

  (512•211) -  2500

Step  3  :

Step  4  :

Pulling out like terms :

 4.1     Pull out like factors :

   5¹² • 2¹¹ - 2500  =   5 • (1 - 500) 

Final result :

  5 • (1 - 500)