Solution - Power equations

Step  1  :

Equation at the end of step  1  :

           24
  (82) -  ———
          -12

Step  2  :

             24
 Simplify   ———
            -12

Raising to a Power :

 2.1    2⁴   divided by   2²   = 2^{(4 - 2)} = 2²

Equation at the end of step  2  :

          -4
  (82) -  ——
          3 

Step  3  :

 3.1     8 = 23

(8)² = (2³)² = 2⁶

Equation at the end of step  3  :

        -4
  26 -  ——
        3 

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  3  as the denominator :

           26     26 • 3
     26 =  ——  =  ——————
           1        3   

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 :

 4.2       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:

 26 • 3 - (-4)     196
 —————————————  =  ———
       3            3 

Final result :

  196            
  ——— = 65.33333 
   3