Solution - Power equations

Step  1  :

 1.1     6 = 2•3

(6)⁴ = (2•3)⁴ = 2⁴ • 3⁴

Equation at the end of step  1  :

Step  2  :

 2.1     6 = 2•3

(6)² = (2•3)² = 2² • 3²

Equation at the end of step  2  :

Step  3  :

            (22•32)
 Simplify   ———————
            (24•34)

Dividing exponents :

 3.1    2²   divided by   2⁴   = 2^{(2 - 4)} = 2^(-2) = ¹/_2²

Dividing exponents :

 3.2    3²   divided by   3⁴   = 3^{(2 - 4)} = 3^(-2) = ¹/_3²

Final result :

   1           
  —— = 0.02778 
  36