Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "450." was replaced by "(450/1)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  450
  ——— • ((2)(-3)•(5)(-3))
   1 

Step  2  :

            450
 Simplify   ———
             1 

Equation at the end of step  2  :

  450 • ((2)(-3)•(5)(-3))

Step  3  :

Dividing exponents :

 3.1    2¹   divided by   2³   = 2^{(1 - 3)} = 2^(-2) = ¹/_2²

Dividing exponents :

 3.2    5²   divided by   5³   = 5^{(2 - 3)} = 5^(-1) = ¹/_5¹ = ¹/₅

Final result :

   9           
  —— = 0.45000 
  20