Final answer:
To simplify the given expression, we subtract the exponents and find a common denominator.
Step-by-step explanation:
To simplify the fourth root of 6 over the fifth root of 6, we can rewrite it as 6^(1/4) / 6^(1/5). When dividing with the same base, we subtract the exponents, so we have 6^(1/4 - 1/5). We can find a common denominator for the exponents, which is 20. The exponent becomes (5/20 - 4/20). Simplifying, we get 6^(1/20).
Therefore, the simplified expression is 6^(1/20).