Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "91.05" was replaced by "(9105/100)". 2 more similar replacement(s)

Step  1  :

            1821
 Simplify   ————
             20 

Equation at the end of step  1  :

   51             1821
  (—— • (103)) -  ————
   10              20 

Step  2  :

 2.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  2  :

   51               1821
  (—— • (23•53)) -  ————
   10                20 

Step  3  :

            51
 Simplify   ——
            10

Equation at the end of step  3  :

   51               1821
  (—— • (23•53)) -  ————
   10                20 

Step  4  :

Dividing exponents :

 4.1    2³   divided by   2¹   = 2^{(3 - 1)} = 2²

Dividing exponents :

 4.2    5³   divided by   5¹   = 5^{(3 - 1)} = 5²

Equation at the end of step  4  :

          1821
  5100 -  ————
           20 

Step  5  :

Rewriting the whole as an Equivalent Fraction :

 5.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  20  as the denominator :

             5100     5100 • 20
     5100 =  ————  =  —————————
              1          20    

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 :

 5.2       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:

 5100 • 20 - (1821)     100179
 ——————————————————  =  ——————
         20               20  

Final result :

  100179              
  —————— = 5008.95000 
    20