Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.66667" was replaced by "(166667/100000)".

Step  1  :

 1.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  1  :

  166667
  —————— • (23•53)
  100000

Step  2  :

            166667
 Simplify   ——————
            100000

Equation at the end of step  2  :

  166667
  —————— • (23•53)
  100000

Step  3  :

Dividing exponents :

 3.1    2³   divided by   2⁵   = 2^{(3 - 5)} = 2^(-2) = ¹/_2²

Dividing exponents :

 3.2    5³   divided by   5⁵   = 5^{(3 - 5)} = 5^(-2) = ¹/_5²

Final result :

  166667              
  —————— = 1666.67000 
   100