Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.8" was replaced by "(38/10)".

Step  1  :

 1.1     10 = 2•5

(10)⁷ = (2•5)⁷ = 2⁷ • 5⁷

Equation at the end of step  1  :

   38
  (—— • (27•57)) • 1000
   10

Step  2  :

            19
 Simplify   ——
            5 

Equation at the end of step  2  :

   19
  (—— • (27•57)) • 1000
   5 

Step  3  :

Dividing exponents :

 3.1    5⁷   divided by   5¹   = 5^{(7 - 1)} = 5⁶

Equation at the end of step  3  :

  (19•27•56) • 1000

Step  4  :

Multiplying exponents :

 4.1    2⁷  multiplied by  2³   = 2^{(7 + 3)} = 2¹⁰

Multiplying exponents :

 4.2    5⁶  multiplied by  5³   = 5^{(6 + 3)} = 5⁹

Final result :

  (19•210•59)