Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-3" was replaced by "^(-3)".

Step  1  :

            81
 Simplify   ——
            64

Equation at the end of step  1  :

  81
 (——)-3) ÷ 4
  64

Step  2  :

 2.1     81 = 34

(81)^-3 = (3⁴)^(-3) = (3)^(-12)  2.2     64 = 2⁶ (64)^-3 = (2⁶)^(-3) = (2)^(-18)

Equation at the end of step  2  :

  (3)(-12)
  ———————— ÷ 4
  (2)(-18)

Step  3  :

         (3)(-12)      
 Divide  ————————  by  4
         (2)(-18)      

Dividing exponents :

 3.1    2¹⁸   divided by   2²   = 2^{(18 - 2)} = 2¹⁶

Final result :

  216           
  ——— = 0.12332 
  312