Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "32.14" was replaced by "(3214/100)".

Step  1  :

 1.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  1  :

  3214
  ———— • (25•55)
  100 

Step  2  :

            1607
 Simplify   ————
             50 

Equation at the end of step  2  :

  1607
  ———— • (25•55)
   50 

Step  3  :

Dividing exponents :

 3.1    2⁵   divided by   2¹   = 2^{(5 - 1)} = 2⁴

Dividing exponents :

 3.2    5⁵   divided by   5²   = 5^{(5 - 2)} = 5³

Final result :

  (1607•24•53)