Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "4.075" was replaced by "(4075/1000)".

Step  1  :

 1.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  1  :

  4075
  ———— • (25•55)
  1000

Step  2  :

            163
 Simplify   ———
            40 

Equation at the end of step  2  :

  163
  ——— • (25•55)
  40 

Step  3  :

Dividing exponents :

 3.1    2⁵   divided by   2³   = 2^{(5 - 3)} = 2²

Dividing exponents :

 3.2    5⁵   divided by   5¹   = 5^{(5 - 1)} = 5⁴

Final result :

  (163•22•54)