Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-4" was replaced by "^(-4)".

Step  1  :

 1.1     10 = 2•5

(10)^-4 = (2•5)^(-4) = (2)^(-4) • (5)^(-4)

Equation at the end of step  1  :

  4500 • ((2)(-4)•(5)(-4))

Step  2  :

Dividing exponents :

 2.1    2²   divided by   2⁴   = 2^{(2 - 4)} = 2^(-2) = ¹/_2²

Dividing exponents :

 2.2    5³   divided by   5⁴   = 5^{(3 - 4)} = 5^(-1) = ¹/_5¹ = ¹/₅

Final result :

   9           
  —— = 0.45000 
  20