Solution - Power equations

Step  1  :

            11
 Simplify   ——
            5 

Equation at the end of step  1  :

  5    11
  — • (——)2)
  9    5 

Step  2  :

Equation at the end of step  2  :

  5   112
  — • ———
  9   52 

Step  3  :

            5
 Simplify   —
            9

Equation at the end of step  3  :

  5   112
  — • ———
  9   52 

Step  4  :

Dividing exponents :

 4.1    5¹   divided by   5²   = 5^{(1 - 2)} = 5^(-1) = ¹/_5¹ = ¹/₅

Final result :

  121           
  ——— = 2.68889 
  45