Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.1" was replaced by "(1/10)".

Step  1  :

             1
 Simplify   ——
            10

Equation at the end of step  1  :

                  1
  10000 • ((1 +  ——)12)
                 10

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  10  as the denominator :

          1     1 • 10
     1 =  —  =  ——————
          1       10  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

 2.2       Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

 10 + 1     11
 ——————  =  ——
   10       10

Equation at the end of step  2  :

           11
  10000 • (——)12)
           10

Step  3  :

 3.1     10 = 2•5 (10)¹² = (2•5)¹² = 2¹² • 5¹²

Equation at the end of step  3  :

             1112  
  10000 • —————————
          (212•512)

Step  4  :

Dividing exponents :

 4.1    2⁴   divided by   2¹²   = 2^{(4 - 12)} = 2^(-8) = ¹/_2⁸

Dividing exponents :

 4.2    5⁴   divided by   5¹²   = 5^{(4 - 12)} = 5^(-8) = ¹/_5⁸

Final result :

    1112                
  ——————— = 31384.28377 
  (28•58)