Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.009625" was replaced by "(009625/1000000)".

Step  1  :

 1.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  1  :

    9625 
  ——————— • (22•52)
  1000000

Step  2  :

             77 
 Simplify   ————
            8000

Equation at the end of step  2  :

   77 
  ———— • (22•52)
  8000

Step  3  :

Dividing exponents :

 3.1    2²   divided by   2⁶   = 2^{(2 - 6)} = 2^(-4) = ¹/_2⁴

Dividing exponents :

 3.2    5²   divided by   5³   = 5^{(2 - 3)} = 5^(-1) = ¹/_5¹ = ¹/₅

Final result :

  77           
  —— = 0.96250 
  80