Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.31" was replaced by "(131/100)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  1  :

   328    131
  ———— ÷ (——— • (25•55))
  1000    100

Step  2  :

            131
 Simplify   ———
            100

Equation at the end of step  2  :

   328    131
  ———— ÷ (——— • (25•55))
  1000    100

Step  3  :

Dividing exponents :

 3.1    2⁵   divided by   2²   = 2^{(5 - 2)} = 2³

Dividing exponents :

 3.2    5⁵   divided by   5²   = 5^{(5 - 2)} = 5³

Equation at the end of step  3  :

   328
  ———— ÷ (131•23•53)
  1000

Step  4  :

             41
 Simplify   ———
            125

Equation at the end of step  4  :

   41
  ——— ÷ (131•23•53)
  125

Step  5  :

          41      
 Divide  ———  by  (131•23•53)
         125      

Multiplying exponents :

 5.1    5³  multiplied by  5³   = 5^{(3 + 3)} = 5⁶

Final result :

       41                                      
  ——————————— = 2.50382 • 10-6 
  (56•131•23)