Thank you for posting your question!
In each case I would use technology like a handheld calculator or Microsoft Excel in order to approximate what the underlying value would be. And then since it’s asking for rounding to the nearest thousandth that means to 3 decimal places.
So when I plug in the 4th root of 81*pi into my calculator I get 9.425
And when I plug the 5th root of 0.0272 into my calculator I get 0.446
I hope that helps! Feel free to reach out via message for a lesson if you have any additional questions beyond that! :)