Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

Step  1  :

            25
 Simplify   ——
            16

Equation at the end of step  1  :

  25
 (——)-1) ÷ 2
  16

Step  2  :

 2.1     25 = 52

(25)^-1 = (5²)^(-1) = (5)^(-2)  2.2     16 = 2⁴ (16)^-1 = (2⁴)^(-1) = (2)^(-4)

Equation at the end of step  2  :

  (5)(-2)
  ——————— ÷ 2
  (2)(-4)

Step  3  :

         (5)(-2)      
 Divide  ———————  by  2
         (2)(-4)      

Dividing exponents :

 3.1    2⁴   divided by   2¹   = 2^{(4 - 1)} = 2³

Final result :

   8           
  —— = 0.32000 
  25