Step-by-step explanation:
To simplify the expression, we can start by evaluating the exponentiation:
(8/y^∆6) = (8/y^(6))
Now, we can simplify the fraction by combining the powers:
(8/y^(6)) = 8/(y^6)
Now, we can subtract 1/3 from the expression:
(8/(y^6)) - 1/3
= 8/(y^6) - 1/(3)
To simplify this further, we can combine the fractions:
(8/(y^6)) - (1/(3))
= (8/(y^6)) - (1/(3))
= 24/(3*y^6)
So, the simplified expression is:
24/(3*y^6)
