1) We all know that y=x2 => x=+/- sqrt(y) and z2=9=> z=+/-3. But does this idea extend to all even exponents? e.g. Assume the field of real numbers, solve y=x6 for x. Is the answer x=+/-y1/6? Is this true in general for any even exponent? (e.g. y=x28 => x=+/-y1/28 ?) 2) x2 = 9 (x2)1/2 = 91/2 (apply the SAME operations on BOTH sides) x1 = x = 3 (by applying the exponent law: power of a power (xa)b=xab ) This is certainly wrong (the correct answer shold be +/- 3), but I don't see where the mistake is. Can someone please help me? Thanks for explaining!