Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.05" was replaced by "(205/100)".

Step  1  :

 1.1     10 = 2•5

(10)¹⁴ = (2•5)¹⁴ = 2¹⁴ • 5¹⁴

Equation at the end of step  1  :

  205
  ——— • (214•514)
  100

Step  2  :

            41
 Simplify   ——
            20

Equation at the end of step  2  :

  41
  —— • (214•514)
  20

Step  3  :

Dividing exponents :

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

Dividing exponents :

 3.2    5¹⁴   divided by   5¹   = 5^{(14 - 1)} = 5¹³

Final result :

  (41•212•513)