Solution - Power equations

Step  1  :

 1.1     4 = 22

(4)⁴ = (2²)⁴ = 2⁸

Equation at the end of step  1  :

Step  2  :

 2.1     4 = 22

(4)⁷ = (2²)⁷ = 2¹⁴

Equation at the end of step  2  :

Step  3  :

            214
 Simplify   ———
            28 

Dividing exponents :

 3.1    2¹⁴   divided by   2⁸   = 2^{(14 - 8)} = 2⁶

Final result :

  64