Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.032" was replaced by "(1032/1000)".

Step  1  :

            129
 Simplify   ———
            125

Equation at the end of step  1  :

          129
  5000 • (———)3)
          125

Step  2  :

 2.1     129 = 3•43

(129)³ = (3•43)³ = 3³ • 43³  2.2     125 = 5³ (125)³ = (5³)³ = 5⁹

Equation at the end of step  2  :

         (33•433)
  5000 • ————————
            59   

Step  3  :

Dividing exponents :

 3.1    5⁴   divided by   5⁹   = 5^{(4 - 9)} = 5^(-5) = ¹/_5⁵

Final result :

  (23•33•433)               
  ——————————— = 5495.52384 
     3125