Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.00051" was replaced by "(00051/100000)".

Step  1  :

 1.1     320 = 26•5

(320)² = (2⁶•5)² = 2¹² • 5²

Equation at the end of step  1  :

    51  
  —————— • (212•52)
  100000

Step  2  :

              51  
 Simplify   ——————
            100000

Equation at the end of step  2  :

    51  
  —————— • (212•52)
  100000

Step  3  :

Dividing exponents :

 3.1    2¹²   divided by   2⁵   = 2^{(12 - 5)} = 2⁷

Dividing exponents :

 3.2    5²   divided by   5⁵   = 5^{(2 - 5)} = 5^(-3) = ¹/_5³

Final result :

  6528            
  ———— = 52.22400 
  125