Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "4.58" was replaced by "(458/100)".

Step  1  :

 1.1     10 = 2•5

(10)¹⁴ = (2•5)¹⁴ = 2¹⁴ • 5¹⁴

Equation at the end of step  1  :

  458
  ——— • (214•514)
  100

Step  2  :

            229
 Simplify   ———
            50 

Equation at the end of step  2  :

  229
  ——— • (214•514)
  50 

Step  3  :

Dividing exponents :

 3.1    2¹⁴   divided by   2¹   = 2^{(14 - 1)} = 2¹³

Dividing exponents :

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

Final result :

  (229•213•512)