Solution - Power equations

Step  1  :

 1.1     64 = 26

(64)⁵ = (2⁶)⁵ = 2³⁰

Equation at the end of step  1  :

Step  2  :

 2.1     64 = 26

(64)¹⁰ = (2⁶)¹⁰ = 2⁶⁰

Equation at the end of step  2  :

Step  3  :

            260
 Simplify   ———
            230

Dividing exponents :

 3.1    2⁶⁰   divided by   2³⁰   = 2^{(60 - 30)} = 2³⁰

Final result :

  230