Solution - Power equations

Step  1  :

 1.1     30 = 2•3•5

(30)¹ = (2•3•5)¹ = 2 • 3 • 5

Equation at the end of step  1  :

Step  2  :

            (2•3•5)
 Simplify   ———————
               4   

Dividing exponents :

 2.1    2¹   divided by   2²   = 2^{(1 - 2)} = 2^(-1) = ¹/_2¹ = ¹/₂

Final result :

  15           
  —— = 7.50000 
  2