Solution - Power equations

Step  1  :

            1
 Simplify   —
            3

Equation at the end of step  1  :

  7      2 1
  —+(3•((—-—)2))
  3      3 3

Step  2  :

            2
 Simplify   —
            3

Equation at the end of step  2  :

  7           2    1
  — +  (3 • ((— -  —)2))
  3           3    3

Step  3  :

Adding fractions which have a common denominator :

 3.1       Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

 2 - (1)     1
 ———————  =  —
    3        3

Equation at the end of step  3  :

  7          1
  — +  (3 • (—)2))
  3          3

Step  4  :

Equation at the end of step  4  :

  7          1
  — +  (3 • ——)
  3         32

Step  5  :

Dividing exponents :

 5.1    3¹   divided by   3²   = 3^{(1 - 2)} = 3^(-1) = ¹/_3¹ = ¹/₃

Equation at the end of step  5  :

  7    1
  — +  —
  3    3

Step  6  :

            7
 Simplify   —
            3

Equation at the end of step  6  :

  7    1
  — +  —
  3    3

Step  7  :

Adding fractions which have a common denominator :

 7.1       Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

 7 + 1     8
 —————  =  —
   3       3

Final result :

  8           
  — = 2.66667 
  3