Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "0.8" was replaced by "(8/10)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

   8
  —— • ((2)(-1)•(5)(-1))
  10

Step  2  :

            4
 Simplify   —
            5

Equation at the end of step  2  :

  4
  — • ((2)(-1)•(5)(-1))
  5

Step  3  :

Multiplying exponents :

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

Dividing exponents :

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

Final result :

   2           
  —— = 0.08000 
  25