(16a)/(sqrt 6a^3)

(16a)/(a√(6a))

16 / √6a

To simplify the expression (16a) / (√6a^3), you can start by breaking down each term.

16a can be written as 16 * a, and √6a^3 can be written as √6 * √(a^3).

Now let's simplify each term separately:

16 * a = 16a

Next, let's simplify the square root of a^3:

√(a^3) = √(a * a * a) = a * √a

Now, let's put it all back together:

(16a) / (√6a^3) = (16a) / (a * √a * √6)

Since a is common in the numerator and denominator, we can cancel them out:

= 16 / (√a * √6)

And since (√a * √6) can be written as √(6a), we get:

= 16 / √(6a)

Therefore, the simplified expression is 16 / √(6a).