This looks ugly, but don't panic.

For the first item, finding the 6th root of a square root is the same as finding the 12th root. We need to use this rule from before:

So the first term is:

For the second term, we need to split up the 2¹³ as follows:

2¹³ = 2¹² × 2

We do this so that we end up with a "12th root of 2" term so that we can simplify the final answer. We also need the following identity for this part:

We'll use this in the second line, to simplify the 12th root of 2¹²:

Now let's put this all together and get the final answer: