Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.3" was replaced by "(3/10)".

Step  1  :

             3
 Simplify   ——
            10

Equation at the end of step  1  :

              3
  6 • ((2 +  ——)5)
             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 :

          2     2 • 10
     2 =  —  =  ——————
          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:

 2 • 10 + 3     23
 ——————————  =  ——
     10         10

Equation at the end of step  2  :

       23
  6 • (——)5)
       10

Step  3  :

 3.1     10 = 2•5 (10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  3  :

        235  
  6 • ———————
      (25•55)

Step  4  :

Dividing exponents :

 4.1    2¹   divided by   2⁵   = 2^{(1 - 5)} = 2^(-4) = ¹/_2⁴

Final result :

  (3•235)             
  ——————— = 386.18058 
  (24•55)