Solution - Power equations

Step  1  :

 1.1     10 = 2•5

(10)¹⁴ = (2•5)¹⁴ = 2¹⁴ • 5¹⁴

Equation at the end of step  1  :

      (214•514) 
  9 • —————————
          2    

Step  2  :

            (214•514) 
 Simplify   —————————
                2    

Dividing exponents :

 2.1    2¹⁴   divided by   2¹   = 2^{(14 - 1)} = 2¹³

Equation at the end of step  2  :

  9 • (213•514)

Step  3  :

Final result :

  (32•213•514)