Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

Step  1  :

            625
 Simplify   ———
            256

Equation at the end of step  1  :

  625
 (———)-3) ÷ 4
  256

Step  2  :

 2.1     625 = 54

(625)^-3 = (5⁴)^(-3) = (5)^(-12)  2.2     256 = 2⁸ (256)^-3 = (2⁸)^(-3) = (2)^(-24)

Equation at the end of step  2  :

  (5)(-12)
  ———————— ÷ 4
  (2)(-24)

Step  3  :

         (5)(-12)      
 Divide  ————————  by  4
         (2)(-24)      

Dividing exponents :

 3.1    2²⁴   divided by   2²   = 2^{(24 - 2)} = 2²²

Final result :

  222           
  ——— = 0.01718 
  512