Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.14" was replaced by "(314/100)".

Step  1  :

 1.1     20 = 22•5

(20)³ = (2²•5)³ = 2⁶ • 5³

Equation at the end of step  1  :

   4   314
  (— • ———) • (26•53)
   3   100

Step  2  :

            157
 Simplify   ———
            50 

Equation at the end of step  2  :

   4   157
  (— • ———) • (26•53)
   3   50 

Step  3  :

            4
 Simplify   —
            3

Equation at the end of step  3  :

   4   157
  (— • ———) • (26•53)
   3   50 

Step  4  :

Multiplying exponents :

 4.1    2¹  multiplied by  2⁶   = 2^{(1 + 6)} = 2⁷

Dividing exponents :

 4.2    5³   divided by   5²   = 5^{(3 - 2)} = 5¹ = 5

Final result :

  (27•157•5)               
  —————————— = 33493.33333 
      3