Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "5.2" was replaced by "(52/10)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  52
  —— • ((2)(-2)•(5)(-2))
  10

Step  2  :

            26
 Simplify   ——
            5 

Equation at the end of step  2  :

  26
  —— • ((2)(-2)•(5)(-2))
  5 

Step  3  :

Multiplying exponents :

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

Dividing exponents :

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

Final result :

   13           
  ——— = 0.05200 
  250