Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-2" was replaced by "^(-2)".

(2): ".4" was replaced by "(4/10)".

Step  1  :

            2
 Simplify   —
            5

Equation at the end of step  1  :

           2
  (10-2) • —
           5

Step  2  :

 2.1     10 = 2•5

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

Equation at the end of step  2  :

                      2
  ((2)(-2)•(5)(-2)) • —
                      5

Step  3  :

Multiplying exponents :

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

Dividing exponents :

 3.2    2¹   divided by   2²   = 2^{(1 - 2)} = 2^(-1) = ¹/_2¹ = ¹/₂

Final result :

   1            
  ——— = 0.00400 
  250