(6a^b)^3 x (1/3abc)^2

1 answer

To simplify this expression, we need to apply the rules of exponents.

First, let's simplify the term (6a^b)^3:

(6a^b)^3 = 6^3 * (a^b)^3 = 216 * a^3b

Next, let's simplify the term (1/3abc)^2:

(1/3abc)^2 = 1/9a^2b^2c^2

Now, we can multiply the two simplified terms together:

(216 * a^3b) * (1/9a^2b^2c^2)
= 216/9 * a^(3-2) * b^(1-2) * c^0
= 24a * 1/b * 1
= 24a/b

Therefore, the simplified expression is 24a/b.