Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "6.5" was replaced by "(65/10)". 2 more similar replacement(s)

Step  1  :

            13
 Simplify   ——
            2 

Equation at the end of step  1  :

   372             13
  (——— • (1013)) • ——
   100             2 

Step  2  :

 2.1     10 = 2•5

(10)¹³ = (2•5)¹³ = 2¹³ • 5¹³

Equation at the end of step  2  :

   372                13
  (——— • (213•513)) • ——
   100                2 

Step  3  :

            93
 Simplify   ——
            25

Equation at the end of step  3  :

   93                13
  (—— • (213•513)) • ——
   25                2 

Step  4  :

Dividing exponents :

 4.1    5¹³   divided by   5²   = 5^{(13 - 2)} = 5¹¹

Equation at the end of step  4  :

                   13
  (3•31•213•511) • ——
                   2 

Step  5  :

Dividing exponents :

 5.1    2¹³   divided by   2¹   = 2^{(13 - 1)} = 2¹²

Final result :

  (3•31•212•511•13)