Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "5." was replaced by "(5/1)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

   5
  (— • ((2)(-2)•(5)(-2))) • 3
   1

Step  2  :

            5
 Simplify   —
            1

Equation at the end of step  2  :

  (5 • ((2)(-2)•(5)(-2))) • 3

Step  3  :

Dividing exponents :

 3.1    5¹   divided by   5²   = 5^{(1 - 2)} = 5^(-1) = ¹/_5¹ = ¹/₅

Equation at the end of step  3  :

   1
  —— • 3
  20

Step  4  :

Final result :

   3           
  —— = 0.15000 
  20