Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.584" was replaced by "(1584/1000)".

Step  1  :

 1.1     10 = 2•5

(10)¹⁰ = (2•5)¹⁰ = 2¹⁰ • 5¹⁰

Equation at the end of step  1  :

  1584
  ———— • (210•510)
  1000

Step  2  :

            198
 Simplify   ———
            125

Equation at the end of step  2  :

  198
  ——— • (210•510)
  125

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2¹⁰   = 2^{(1 + 10)} = 2¹¹

Dividing exponents :

 3.2    5¹⁰   divided by   5³   = 5^{(10 - 3)} = 5⁷

Final result :

  (211•32•11•57)