Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "5." was replaced by "(5/1)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  5
  — • ((2)(-3)•(5)(-3))
  1

Step  2  :

            5
 Simplify   —
            1

Equation at the end of step  2  :

  5 • ((2)(-3)•(5)(-3))

Step  3  :

Dividing exponents :

 3.1    5¹   divided by   5³   = 5^{(1 - 3)} = 5^(-2) = ¹/_5²

Final result :

   1            
  ——— = 0.00500 
  200