Solution - Power equations

Step  1  :

 1.1     24 = 23•3

(24)² = (2³•3)² = 2⁶ • 3²

Equation at the end of step  1  :

Step  2  :

Multiplying exponents :

 2.1    2²  multiplied by  2⁶   = 2^{(2 + 6)} = 2⁸

Equation at the end of step  2  :

Step  3  :

            (28•32)
 Simplify   ———————
               2   

Dividing exponents :

 3.1    2⁸   divided by   2¹   = 2^{(8 - 1)} = 2⁷

Final result :

  1152