(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).