Solution - Power equations

Step  1  :

 1.1     27 = 33

(27)² = (3³)² = 3⁶

Equation at the end of step  1  :

  (163)    36
  ————— +  ——
    4      3 

Step  2  :

            36
 Simplify   ——
            3 

Raising to a Power :

 2.1    3⁶   divided by   3¹   = 3^{(6 - 1)} = 3⁵

Equation at the end of step  2  :

  (163)    
  ————— +  243
    4      

Step  3  :

 3.1     16 = 24

(16)³ = (2⁴)³ = 2¹²

Equation at the end of step  3  :

  212    
  ——— +  243
   4     

Step  4  :

            212
 Simplify   ———
             4 

Dividing exponents :

 4.1    2¹²   divided by   2²   = 2^{(12 - 2)} = 2¹⁰

Equation at the end of step  4  :

  1024 +  243

Step  5  :

Final result :

  1267