(3k^3)^6

3^6 * k^18 = 729 k^18

To simplify the expression (3k^3)^6, you can raise 3 to the power 6 and k^3 to the power 6 separately. Let's break it down step by step:

Step 1: Raise 3 to the power 6
Since 3 doesn't have any variables attached to it, we can simply raise 3 to the power 6. This means multiplying 3 by itself six times:
3^6 = 3 * 3 * 3 * 3 * 3 * 3 = 729

Step 2: Raise k^3 to the power 6
To raise k^3 to the power 6, we need to multiply the exponents. This means multiplying 3 by 6:
(k^3)^6 = k^(3 * 6) = k^18

Step 3: Combine the results
Finally, put together the results from step 1 and step 2:
(3k^3)^6 = 729 * k^18

So, the simplified expression is 729k^18.