Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "3.68" was replaced by "(368/100)".

Step  1  :

 1.1     10 = 2•5

(10)^-1 = (2•5)^(-1) = (2)^(-1) • (5)^(-1)

Equation at the end of step  1  :

  368
  ——— • ((2)(-1)•(5)(-1))
  100

Step  2  :

            92
 Simplify   ——
            25

Equation at the end of step  2  :

  92
  —— • ((2)(-1)•(5)(-1))
  25

Step  3  :

Multiplying exponents :

 3.1    5²  multiplied by  5¹   = 5^{(2 + 1)} = 5³

Dividing exponents :

 3.2    2²   divided by   2¹   = 2^{(2 - 1)} = 2¹ = 2

Final result :

   46           
  ——— = 0.36800 
  125