Why is it that ^4√112b^12 is written as 2b^3√7 instead of 16b^3√7?

I ask this question because doing problems that are a little bit more difficult are not making sense. with the above question we know that it's 2 times itself 4 times however we write it as 2b^3√7

However in this problem:

^3√320x^16y^12z^13

instead of it being 2 it's written as ^3√64. is it because there are only 2 sets of 2? If there were 3 sets of twos would it then be put outside of √?

I'm trying to make sure this is the reason. someone please help. Thanks.

Update:

2nd time ive asked with no responds...

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