Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "57.6" was replaced by "(576/10)". 2 more similar replacement(s)

Step  1  :

            288
 Simplify   ———
             5 

Equation at the end of step  1  :

   116             288
  (——— • (104)) +  ———
   100              5 

Step  2  :

 2.1     10 = 2•5

(10)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  2  :

   116               288
  (——— • (24•54)) +  ———
   100                5 

Step  3  :

            29
 Simplify   ——
            25

Equation at the end of step  3  :

   29               288
  (—— • (24•54)) +  ———
   25                5 

Step  4  :

Dividing exponents :

 4.1    5⁴   divided by   5²   = 5^{(4 - 2)} = 5²

Equation at the end of step  4  :

                288
  (29•24•52) +  ———
                 5 

Step  5  :

Rewriting the whole as an Equivalent Fraction :

 5.1   Adding a fraction to a whole

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

                   (29•24•52)     (29•24•52) • 5
     (29•24•52) =  ——————————  =  ——————————————
                       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:

Multiplying exponents :

 5²  multiplied by  5¹   = 5^{(2 + 1)} = 5³ (29•2⁴•5²) • 5 + 288 29•2⁴•5³ + 288 ———————————————————— = —————————————— 5 5

Final result :

  29 + 288
  ————————
     5