b has nth root of x if and only if b^n=x

when x is greater than or equal to 0 and n is an integer greater than 1, 1/x^n is an nth root of x

number of real roots theorem

positive real numbers: 2 real if even 1 real if odd every negative has 0 real when even 1 real when odd

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Chapter 7 section 6

Question	Answer
nth root	b has nth root of x if and only if b^n=x
1/n exponent theorem	when x is greater than or equal to 0 and n is an integer greater than 1, 1/x^n is an nth root of x
number of real roots theorem	positive real numbers: 2 real if even 1 real if odd every negative has 0 real when even 1 real when odd