Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.79" was replaced by "(279/100)".

Step  1  :

            279
 Simplify   ———
            100

Equation at the end of step  1  :

  279
 (———)1) ÷ 3
  100

Step  2  :

 2.1     279 = 32•31

(279)¹ = (3²•31)¹ = 3² • 31  2.2     100 = 2²•5² (100)¹ = (2²•5²)¹ = 2² • 5²

Equation at the end of step  2  :

  (32•31)
  ——————— ÷ 3
  (22•52)

Step  3  :

         (32•31)      
 Divide  ———————  by  3
         (22•52)      

Dividing exponents :

 3.1    3²   divided by   3¹   = 3^{(2 - 1)} = 3¹ = 3

Final result :

   93           
  ——— = 0.93000 
  100