Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

Step  1  :

 1.1     100 = 22•52

(100)^-1 = (2²•5²)^(-1) = (2)^(-2) • (5)^(-2)

Equation at the end of step  1  :

          49       
  ————————————————— ÷ 2
  ((2)(-2)•(5)(-2)) 

Step  2  :

                    1   
 Divide  49  by  ———————
                 (22•52)

Equation at the end of step  2  :

  (72•22•52) 
  ——————————
      2     

Step  3  :

            (72•22•52) 
 Simplify   ——————————
                2     

Dividing exponents :

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

Final result :

  2450