Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-33" was replaced by "^(-33)".

(2): "5.04" was replaced by "(504/100)".

Step  1  :

 1.1     10 = 2•5

(10)^-33 = (2•5)^(-33) = (2)^(-33) • (5)^(-33)

Equation at the end of step  1  :

  504
  ——— • ((2)(-33)•(5)(-33))
  100

Step  2  :

            126
 Simplify   ———
            25 

Equation at the end of step  2  :

  126
  ——— • ((2)(-33)•(5)(-33))
  25 

Step  3  :

Multiplying exponents :

 3.1    5²  multiplied by  5³³   = 5^{(2 + 33)} = 5³⁵

Dividing exponents :

 3.2    2¹   divided by   2³³   = 2^{(1 - 33)} = 2^(-32) = ¹/_2³²

Final result :

      63                                      
  ————————— = 5.04000 • 10-33 
  (535•232)