Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-1" was replaced by "^(-1)".

Step  1  :

             49
 Simplify   ———
            100

Equation at the end of step  1  :

  (49
 (———)-1) ÷ 2
  100

Step  2  :

 2.1     49 = 72

(49)^-1 = (7²)^(-1) = (7)^(-2)  2.2     100 = 2²•5² (100)^-1 = (2²•5²)^(-1) = (2)^(-2) • (5)^(-2)

Equation at the end of step  2  :

       (7)(-2)     
  ————————————————— ÷ 2
  ((2)(-2)•(5)(-2)) 

Step  3  :

              (7)(-2)           
 Divide  —————————————————  by  2
         ((2)(-2)•(5)(-2))       

Dividing exponents :

 3.1    2²   divided by   2¹   = 2^{(2 - 1)} = 2¹ = 2

Final result :

  50           
  —— = 1.02041 
  49