# How do you simplify #n^5/(n-6) * (n^2-6n)/(n^8)#?

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To simplify the expression (n^5/(n-6)) * ((n^2-6n)/(n^8)), we can cancel out common factors in the numerator and denominator.

First, let's factorize the expressions: n^5/(n-6) can be written as n^5 / (n(n-6)) (n^2-6n)/(n^8) can be written as (n(n-6))/(n^8)

Now, cancel out the common factors: (n^5 / (n(n-6))) * ((n(n-6))/(n^8)) = (n^5 * n(n-6)) / (n(n-6) * n^8) = (n^6(n-6)) / (n^9(n-6)) = n^6 / (n^9) = 1 / (n^3)

Therefore, the simplified expression is 1 / (n^3).

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