Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.0008" was replaced by "(0008/10000)".

Step  1  :

 1.1     10 = 2•5

(10)⁷ = (2•5)⁷ = 2⁷ • 5⁷

Equation at the end of step  1  :

    8  
  ————— • (27•57)
  10000

Step  2  :

              1 
 Simplify   ————
            1250

Equation at the end of step  2  :

    1 
  ———— • (27•57)
  1250

Step  3  :

Dividing exponents :

 3.1    2⁷   divided by   2¹   = 2^{(7 - 1)} = 2⁶

Dividing exponents :

 3.2    5⁷   divided by   5⁴   = 5^{(7 - 4)} = 5³

Final result :

  8000