Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "5.012" was replaced by "(5012/1000)".

Step  1  :

 1.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  1  :

  5012
  ———— • (25•55)
  1000

Step  2  :

            1253
 Simplify   ————
            250 

Equation at the end of step  2  :

  1253
  ———— • (25•55)
  250 

Step  3  :

Dividing exponents :

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

Dividing exponents :

 3.2    5⁵   divided by   5³   = 5^{(5 - 3)} = 5²

Final result :

  (7•179•24•52)