Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.27" was replaced by "(327/100)".

Step  1  :

 1.1     10 = 2•5

(10)¹⁴ = (2•5)¹⁴ = 2¹⁴ • 5¹⁴

Equation at the end of step  1  :

  327
  ——— • (214•514)
  100

Step  2  :

            327
 Simplify   ———
            100

Equation at the end of step  2  :

  327
  ——— • (214•514)
  100

Step  3  :

Dividing exponents :

 3.1    2¹⁴   divided by   2²   = 2^{(14 - 2)} = 2¹²

Dividing exponents :

 3.2    5¹⁴   divided by   5²   = 5^{(14 - 2)} = 5¹²

Final result :

  (3•109•212•512)