Solution - Simplification or other simple results

Step  1  :

            6
 Simplify   —
            1

Equation at the end of step  1  :

  ((823) • 6) -  2

Step  2  :

 2.1     8 = 23

(8)²³ = (2³)²³ = 2⁶⁹

Equation at the end of step  2  :

  (269 • 6) -  2

Step  3  :

Multiplying exponents :

 3.1    2⁶⁹  multiplied by  2¹   = 2^{(69 + 1)} = 2⁷⁰

Equation at the end of step  3  :

  (270•3) -  2

Step  4  :

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   2⁷⁰ • 3 - 2  =   2 • (4 - 1) 

Final result :

  2 • (4 - 1)