Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.23" was replaced by "(223/100)".

Step  1  :

 1.1     10 = 2•5

(10)⁶⁵ = (2•5)⁶⁵ = 2⁶⁵ • 5⁶⁵

Equation at the end of step  1  :

  223
  ——— • (265•565)
  100

Step  2  :

            223
 Simplify   ———
            100

Equation at the end of step  2  :

  223
  ——— • (265•565)
  100

Step  3  :

Dividing exponents :

 3.1    2⁶⁵   divided by   2²   = 2^{(65 - 2)} = 2⁶³

Dividing exponents :

 3.2    5⁶⁵   divided by   5²   = 5^{(65 - 2)} = 5⁶³

Final result :

  (223•263•563)