Solution - Power equations

Step  1  :

 1.1     45 = 32•5

(45)¹ = (3²•5)¹ = 3² • 5

Equation at the end of step  1  :

Step  2  :

            (32•5)
 Simplify   ——————
              3   

Dividing exponents :

 2.1    3²   divided by   3¹   = 3^{(2 - 1)} = 3¹ = 3

Final result :

  15