Solution - Power equations

Step  1  :

 1.1     4 = 22

(4)⁶ = (2²)⁶ = 2¹²

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  :

             28
 Simplify   ———
            212

Dividing exponents :

 3.1    2⁸   divided by   2¹²   = 2^{(8 - 12)} = 2^(-4) = ¹/_2⁴

Final result :

   1           
  —— = 0.06250 
  16