Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.000001" was replaced by "(1000001/1000000)".

Step  1  :

 1.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  1  :

  1000001
  ——————— • (23•53)
  1000000

Step  2  :

            1000001
 Simplify   ———————
            1000000

Equation at the end of step  2  :

  1000001
  ——————— • (23•53)
  1000000

Step  3  :

Dividing exponents :

 3.1    2³   divided by   2⁶   = 2^{(3 - 6)} = 2^(-3) = ¹/_2³

Dividing exponents :

 3.2    5³   divided by   5⁶   = 5^{(3 - 6)} = 5^(-3) = ¹/_5³

Final result :

  (101•9901)              
  —————————— = 1000.00100 
     1000