Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "8.1" was replaced by "(81/10)".

Step  1  :

 1.1     10 = 2•5

(10)¹² = (2•5)¹² = 2¹² • 5¹²

Equation at the end of step  1  :

  81
  —— • (212•512)
  10

Step  2  :

            81
 Simplify   ——
            10

Equation at the end of step  2  :

  81
  —— • (212•512)
  10

Step  3  :

Dividing exponents :

 3.1    2¹²   divided by   2¹   = 2^{(12 - 1)} = 2¹¹

Dividing exponents :

 3.2    5¹²   divided by   5¹   = 5^{(12 - 1)} = 5¹¹

Final result :

  (34•211•511)