Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-8" was replaced by "^(-8)".

Step  1  :

 1.1     6 = 2•3

(6)^-8 = (2•3)^(-8) = (2)^(-8) • (3)^(-8)

Equation at the end of step  1  :

  (65) • ((2)(-8)•(3)(-8))

Step  2  :

 2.1     6 = 2•3

(6)⁵ = (2•3)⁵ = 2⁵ • 3⁵

Equation at the end of step  2  :

  (25•35) • ((2)(-8)•(3)(-8))

Step  3  :

Dividing exponents :

 3.1    2⁵   divided by   2⁸   = 2^{(5 - 8)} = 2^(-3) = ¹/_2³

Dividing exponents :

 3.2    3⁵   divided by   3⁸   = 3^{(5 - 8)} = 3^(-3) = ¹/_3³

Final result :

   1            
  ——— = 0.00463 
  216