Solution - Power equations

Step  1  :

 1.1     4 = 22

(4)⁴ = (2²)⁴ = 2⁸

Equation at the end of step  1  :

Step  2  :

 2.1     6 = 2•3

(6)⁵ = (2•3)⁵ = 2⁵ • 3⁵

Equation at the end of step  2  :

Step  3  :

            (25•35)
 Simplify   ———————
              28   

Dividing exponents :

 3.1    2⁵   divided by   2⁸   = 2^{(5 - 8)} = 2^(-3) = ¹/_2³

Final result :

  243            
  ——— = 30.37500 
   8