Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "30." was replaced by "(30/1)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  30
  —— • ((2)(-2)•(5)(-2))
  1 

Step  2  :

            30
 Simplify   ——
            1 

Equation at the end of step  2  :

  30 • ((2)(-2)•(5)(-2))

Step  3  :

Dividing exponents :

 3.1    2¹   divided by   2²   = 2^{(1 - 2)} = 2^(-1) = ¹/_2¹ = ¹/₂

Dividing exponents :

 3.2    5¹   divided by   5²   = 5^{(1 - 2)} = 5^(-1) = ¹/_5¹ = ¹/₅

Final result :

   3           
  —— = 0.30000 
  10