Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-3" was replaced by "^(-3)".

Step  1  :

 1.1     10 = 2•5

(10)^-3 = (2•5)^(-3) = (2)^(-3) • (5)^(-3)

Equation at the end of step  1  :

  500 • ((2)(-3)•(5)(-3))

Step  2  :

Dividing exponents :

 2.1    2²   divided by   2³   = 2^{(2 - 3)} = 2^(-1) = ¹/_2¹ = ¹/₂

Canceling Out :

 2.2      Canceling out  5³ as it appears on both sides of the fraction line

Final result :

  1           
  — = 0.50000 
  2