Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "6.0231" was replaced by "(60231/10000)".

Step  1  :

            60231
 Simplify   —————
            10000

Equation at the end of step  1  :

       60231
  4 • (—————)23)
       10000

Step  2  :

 2.1     60231 = 3•17•1181

(60231)²³ = (3•17•1181)²³ = 3²³ • 17²³ • 1181²³  2.2     10000 = 2⁴•5⁴ (10000)²³ = (2⁴•5⁴)²³ = 2⁹² • 5⁹²

Equation at the end of step  2  :

      (323•1723•118123)
  4 • —————————————————
          (292•592)    

Step  3  :

Dividing exponents :

 3.1    2²   divided by   2⁹²   = 2^{(2 - 92)} = 2^(-90) = ¹/_2⁹⁰

Final result :

  (323•1723•118123)                                  
  ————————————————— = 3.45082 • 1018 
      (290•592)