Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  50 • ((2)(-2)•(5)(-2))

Step  2  :

Dividing exponents :

 2.1    2¹   divided by   2²   = 2^{(1 - 2)} = 2^(-1) = ¹/_2¹ = ¹/₂

Canceling Out :

 2.2      Canceling out  5² as it appears on both sides of the fraction line

Final result :

  1           
  — = 0.50000 
  2