Question

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Answer 1

Answer: 6^(1/5)

Explanation:

4√6/5√6

We can simplify by dividing the indices since the radicands (6) are the same.

So we get:

4√6/5√6 = (4/5) * (√6/√6) = (4/5) * 1 = 4/5

Now, we can write 4/5 as a fractional exponent with a base of 6:

(6^(1/5))^4 / (6^(1/5))^5 = 6^(4/5-1) = 6^(-1/5) = 1/6^(1/5)

Therefore, the answer is 6^(1/5).