Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.12" was replaced by "(12/100)".

Step  1  :

             3
 Simplify   ——
            25

Equation at the end of step  1  :

               3
  65 • ((1 +  —— ÷ 6)3)
              25

Step  2  :

          3      
 Divide  ——  by  6
         25      

Equation at the end of step  2  :

               1
  65 • ((1 +  ——)3)
              50

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  50  as the denominator :

          1     1 • 50
     1 =  —  =  ——————
          1       50  

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 :

 3.2       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:

 50 + 1     51
 ——————  =  ——
   50       50

Equation at the end of step  3  :

        51
  65 • (——)3)
        50

Step  4  :

 4.1     51 = 3•17

(51)³ = (3•17)³ = 3³ • 17³  4.2     50 = 2•5² (50)³ = (2•5²)³ = 2³ • 5⁶

Equation at the end of step  4  :

       (33•173)
  65 • ————————
       (23•56) 

Step  5  :

Dividing exponents :

 5.1    5¹   divided by   5⁶   = 5^{(1 - 6)} = 5^(-5) = ¹/_5⁵

Final result :

  (13•33•173)            
  ——————————— = 68.97852 
    (23•55)