Solution - Raising to a power

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "7.4" was replaced by "(74/10)". 2 more similar replacement(s)

Step  1  :

            37
 Simplify   ——
            5 

Equation at the end of step  1  :

   58              37
  (—— • (101)) -  (—— • 1)
   10              5 

Step  2  :

 2.1     10 = 2•5

(10)¹ = (2•5)¹ = 2 • 5

Equation at the end of step  2  :

   58             37
  (—— • (2•5)) -  ——
   10             5 

Step  3  :

            29
 Simplify   ——
            5 

Equation at the end of step  3  :

   29             37
  (—— • (2•5)) -  ——
   5              5 

Step  4  :

Canceling Out :

 4.1      Canceling out  5  as it appears on both sides of the fraction line

Equation at the end of step  4  :

        37
  58 -  ——
        5 

Step  5  :

Rewriting the whole as an Equivalent Fraction :

 5.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  5  as the denominator :

           58     58 • 5
     58 =  ——  =  ——————
           1        5   

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:

 58 • 5 - (37)     253
 —————————————  =  ———
       5            5 

Final result :

  253            
  ——— = 50.60000 
   5