Solution - Power equations

Step  1  :

            27
 Simplify   ——
            64

Equation at the end of step  1  :

  27
 (——)1) ÷ 3
  64

Step  2  :

 2.1     27 = 33

(27)¹ = (3³)¹ = 3³  2.2     64 = 2⁶ (64)¹ = (2⁶)¹ = 2⁶

Equation at the end of step  2  :

  33
  —— ÷ 3
  26

Step  3  :

         33      
 Divide  ——  by  3
         26      

Dividing exponents :

 3.1    3³   divided by   3¹   = 3^{(3 - 1)} = 3²

Final result :

   9           
  —— = 0.14062 
  64