Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.48" was replaced by "(348/100)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  1  :

  498     348
  ——— -  (——— • (23•53))
  100     100

Step  2  :

            87
 Simplify   ——
            25

Equation at the end of step  2  :

  498     87
  ——— -  (—— • (23•53))
  100     25

Step  3  :

Dividing exponents :

 3.1    5³   divided by   5²   = 5^{(3 - 2)} = 5¹ = 5

Equation at the end of step  3  :

  498    
  ——— -  3480
  100    

Step  4  :

            249
 Simplify   ———
            50 

Equation at the end of step  4  :

  249    
  ——— -  3480
  50     

Step  5  :

Rewriting the whole as an Equivalent Fraction :

 5.1   Subtracting a whole from a fraction

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

            3480     3480 • 50
    3480 =  ————  =  —————————
             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 :

 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:

 249 - (3480 • 50)     -173751
 —————————————————  =  ———————
        50               50   

Final result :

  -173751               
  ——————— = -3475.02000 
    50