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     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  1  :

   4   314
  (— • ———) • (23•53)
   3   100

Step  2  :

            157
 Simplify   ———
            50 

Equation at the end of step  2  :

   4   157
  (— • ———) • (23•53)
   3   50 

Step  3  :

            4
 Simplify   —
            3

Equation at the end of step  3  :

   4   157
  (— • ———) • (23•53)
   3   50 

Step  4  :

Multiplying exponents :

 4.1    2¹  multiplied by  2³   = 2^{(1 + 3)} = 2⁴

Dividing exponents :

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

Final result :

  (24•157•5)              
  —————————— = 4186.66667 
      3