Solution - Power equations

Step  1  :

 1.1     4 = 22

(4)³ = (2²)³ = 2⁶

Equation at the end of step  1  :

        12
  24 -  ——
        26

Step  2  :

            12
 Simplify   ——
            26

Dividing exponents :

 2.1    2²   divided by   2⁶   = 2^{(2 - 6)} = 2^(-4) = ¹/_2⁴

Equation at the end of step  2  :

         3
  24 -  ——
        16

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  16  as the denominator :

           24     24 • 16
     24 =  ——  =  ———————
           1        16   

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:

 24 • 16 - (3)     381
 —————————————  =  ———
      16           16 

Final result :

  381            
  ——— = 23.81250 
  16