Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.9231" was replaced by "(19231/10000)".

Step  1  :

 1.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  1  :

  19231
  ————— • (23•53)
  10000

Step  2  :

            19231
 Simplify   —————
            10000

Equation at the end of step  2  :

  19231
  ————— • (23•53)
  10000

Step  3  :

Dividing exponents :

 3.1    2³   divided by   2⁴   = 2^{(3 - 4)} = 2^(-1) = ¹/_2¹ = ¹/₂

Dividing exponents :

 3.2    5³   divided by   5⁴   = 5^{(3 - 4)} = 5^(-1) = ¹/_5¹ = ¹/₅

Final result :

  19231              
  ————— = 1923.10000 
   10