Solution - Power equations

Step  1  :

 1.1     4 = 22

(4)⁹ = (2²)⁹ = 2¹⁸

Equation at the end of step  1  :

Step  2  :

 2.1     4 = 22

(4)⁴ = (2²)⁴ = 2⁸

Equation at the end of step  2  :

Step  3  :

 3.1     4 = 22

(4)³ = (2²)³ = 2⁶

Equation at the end of step  3  :

  
 Step  4  :
            214
 Simplify   ———
            218

Dividing exponents :

 4.1    2¹⁴   divided by   2¹⁸   = 2^{(14 - 18)} = 2^(-4) = ¹/_2⁴

Final result :

   1           
  —— = 0.06250 
  16