Solution - Power equations

Step  1  :

 1.1     6 = 2•3

(6)⁸ = (2•3)⁸ = 2⁸ • 3⁸

Equation at the end of step  1  :

Step  2  :

 2.1     6 = 2•3

(6)⁴ = (2•3)⁴ = 2⁴ • 3⁴

Equation at the end of step  2  :

Step  3  :

            (24•34)
 Simplify   ———————
            (28•38)

Dividing exponents :

 3.1    2⁴   divided by   2⁸   = 2^{(4 - 8)} = 2^(-4) = ¹/_2⁴

Dividing exponents :

 3.2    3⁴   divided by   3⁸   = 3^{(4 - 8)} = 3^(-4) = ¹/_3⁴

Final result :

    1            
  ———— = 0.00077 
  1296