Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.0083" was replaced by "(0083/10000)".

Step  1  :

 1.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  1  :

    83 
  ————— • (22•52)
  10000

Step  2  :

              83 
 Simplify   —————
            10000

Equation at the end of step  2  :

    83 
  ————— • (22•52)
  10000

Step  3  :

Dividing exponents :

 3.1    2²   divided by   2⁴   = 2^{(2 - 4)} = 2^(-2) = ¹/_2²

Dividing exponents :

 3.2    5²   divided by   5⁴   = 5^{(2 - 4)} = 5^(-2) = ¹/_5²

Final result :

   83           
  ——— = 0.83000 
  100