I have a few questions n stuff thats holding me back in math because I don't understand why the problems are worked this way I have the cuberoot of 7 over the cuberoot of 12. 3SQRTSIGN 7/3SQRTSIGN 12

now how do I rationalize the denominator. The answer is cuberoot of 126 / 6. How can I do problems like these without a calculator?

Also assuming all variables are positive how do I simplify these two problems

[can someone write clear step by step ways on how you did this?] i know i'm supposed to multiply everything inside the parenthesis by the number outside right?

(x^-4/7)^7 and (3x^2/3)^-1 THANKS