please help me understand these evil radicals!
okay, so i'm learning how to simplify radicals and i understand the rules for the most part of simplifying but here is an example of what is confusing me:
X^2 Z^2 ^6(1/X^17)
okay because i don't know how to do the fancy stuff on the computer, this isn't how the actual problem looks. The carrots ^ stand for the exponents so the number after them is the exponent and the ^6 is the index of the radical and the numbers in the parenthesis (...) are the numbers in the radical so insead of parethesis there really should be one of those square root thingys.
So i obviously don't need you to solve this problem for me becuase i have the answer BUT i don't know how to get that answer at all and im just so confused how they did it so i just need someone to explain to me how this answer came about.
The three rules to simplifying are:
1.) All exponents inside ^n (...) are positive and less then n
2.) No Common factor can be removed from n and all exponents.
3.) The denominator is rationalized.
okay so just remember that the parenthesis aren't really parenthesis.. It is a radical square root symbol instead. and the 1/X^17 means that 1 is on top and the X^17 is on the denominator but all of it is to the 6th square root.. or however you would say it.