Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.2501" was replaced by "(2501/10000)". 2 more similar replacement(s)

Step  1  :

             2501
 Simplify   —————
            10000

Equation at the end of step  1  :

   329             2501
  (——— • (104)) • —————
   100            10000

Step  2  :

 2.1     10 = 2•5

(10)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  2  :

   329               2501
  (——— • (24•54)) • —————
   100              10000

Step  3  :

            329
 Simplify   ———
            100

Equation at the end of step  3  :

   329               2501
  (——— • (24•54)) • —————
   100              10000

Step  4  :

Dividing exponents :

 4.1    2⁴   divided by   2²   = 2^{(4 - 2)} = 2²

Dividing exponents :

 4.2    5⁴   divided by   5²   = 5^{(4 - 2)} = 5²

Equation at the end of step  4  :

                  2501
  (7•47•22•52) • —————
                 10000

Step  5  :

Dividing exponents :

 5.1    2²   divided by   2⁴   = 2^{(2 - 4)} = 2^(-2) = ¹/_2²

Dividing exponents :

 5.2    5²   divided by   5⁴   = 5^{(2 - 4)} = 5^(-2) = ¹/_5²

Final result :

  (7•47•41•61)              
  ———————————— = 8228.29000 
      100