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  :

  500 • ((2)(-2)•(5)(-2))

Step  2  :

Canceling Out :

 2.1      Canceling out  2² as it appears on both sides of the fraction line

Dividing exponents :

 2.2    5³   divided by   5²   = 5^{(3 - 2)} = 5¹ = 5

Final result :

  5