Solution - Power equations

Step  1  :

Equation at the end of step  1  :

  (614)
  ————— • 37
  (25) 

Step  2  :

Equation at the end of step  2  :

  (614)
  ————— • 37
   25  

Step  3  :

 3.1     6 = 2•3

(6)¹⁴ = (2•3)¹⁴ = 2¹⁴ • 3¹⁴

Equation at the end of step  3  :

  (214•314) 
  ————————— • 37
     25    

Step  4  :

            (214•314) 
 Simplify   —————————
               25    

Dividing exponents :

 4.1    2¹⁴   divided by   2⁵   = 2^{(14 - 5)} = 2⁹

Equation at the end of step  4  :

  (29•314) • 37

Step  5  :

Multiplying exponents :

 5.1    3¹⁴  multiplied by  3⁷   = 3^{(14 + 7)} = 3²¹

Final result :

  (29•321)