Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "459.008" was replaced by "(459008/1000)".

Step  1  :

 1.1     10 = 2•5

(10)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  1  :

  459008
  —————— • (24•54)
   1000 

Step  2  :

            57376
 Simplify   —————
             125 

Equation at the end of step  2  :

  57376
  ————— • (24•54)
   125 

Step  3  :

Multiplying exponents :

 3.1    2⁵  multiplied by  2⁴   = 2^{(5 + 4)} = 2⁹

Dividing exponents :

 3.2    5⁴   divided by   5³   = 5^{(4 - 3)} = 5¹ = 5

Final result :

  (29•11•163•5)