Solution - Power equations

Step  1  :

 1.1     512 = 29

(512)¹ = (2⁹)¹ = 2⁹

Equation at the end of step  1  :

Step  2  :

            29
 Simplify   ——
            2 

Dividing exponents :

 2.1    2⁹   divided by   2¹   = 2^{(9 - 1)} = 2⁸

Final result :

  256