What is the significance of the spaces in this question? Are there missing symbols?
Could it be g^5+5^6=6? If so, g^5=6-5^6=6-15625=-15619. The 5th root of -15619 is -6.8981 approx, so g=-6.8981.
Or should it read 5g+56=6? If so, 5g=-50 and g=-10.
Or should it read g÷5+5÷6=6? (I think this is what it is.)
Multiply through by 30: 6g+25=180; 6g=155, g=155/6.
CHECK: put g=155/6 into the original: (155/6)/5+5/6=31/6+5/6=36/6=6 OK.
If none of these is a correct interpretation of the question, please clarify.