Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-5" was replaced by "^(-5)".

Step  1  :

             81
 Simplify   ———
            256

Equation at the end of step  1  :

  (81
 (———)-5) ÷ 4
  256

Step  2  :

 2.1     81 = 34

(81)^-5 = (3⁴)^(-5) = (3)^(-20)  2.2     256 = 2⁸ (256)^-5 = (2⁸)^(-5) = (2)^(-40)

Equation at the end of step  2  :

  (3)(-20)
  ———————— ÷ 4
  (2)(-40)

Step  3  :

         (3)(-20)      
 Divide  ————————  by  4
         (2)(-40)      

Dividing exponents :

 3.1    2⁴⁰   divided by   2²   = 2^{(40 - 2)} = 2³⁸

Final result :

  238            
  ——— = 78.83421 
  320