Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-6" was replaced by "^(-6)".

Step  1  :

 1.1     10 = 2•5

(10)^-6 = (2•5)^(-6) = (2)^(-6) • (5)^(-6)

Equation at the end of step  1  :

  500 • ((2)(-6)•(5)(-6))

Step  2  :

Dividing exponents :

 2.1    2²   divided by   2⁶   = 2^{(2 - 6)} = 2^(-4) = ¹/_2⁴

Dividing exponents :

 2.2    5³   divided by   5⁶   = 5^{(3 - 6)} = 5^(-3) = ¹/_5³

Final result :

    1            
  ———— = 0.00050 
  2000