Solution - Power equations

Step  1  :

            144
 Simplify   ———
            25 

Equation at the end of step  1  :

  144
 (———)3) ÷ 2
  25 

Step  2  :

 2.1     144 = 24•32

(144)³ = (2⁴•3²)³ = 2¹² • 3⁶  2.2     25 = 5² (25)³ = (5²)³ = 5⁶

Equation at the end of step  2  :

  (212•36)
  ———————— ÷ 2
     56   

Step  3  :

         (212•36)      
 Divide  ————————  by  2
            56         

Dividing exponents :

 3.1    2¹²   divided by   2¹   = 2^{(12 - 1)} = 2¹¹

Final result :

  (211•36)            
  ———————— = 95.55149 
     56