Solution - Power equations

Step  1  :

 1.1     4 = 22

(4)¹⁵ = (2²)¹⁵ = 2³⁰

Equation at the end of step  1  :

Step  2  :

 2.1     64 = 26

(64)¹² = (2⁶)¹² = 2⁷²

Equation at the end of step  2  :

Step  3  :

            272
 Simplify   ———
            230

Dividing exponents :

 3.1    2⁷²   divided by   2³⁰   = 2^{(72 - 30)} = 2⁴²

Final result :

  242