When x is a nonzero number, x3 is a positive number.

Question

When x is a nonzero number, x³ is a positive number. 



Answer 1

Only if x is positive. If x is negative, then x³ is also negative. Examples:

2³ = 2·2·2 = 8

(-2)³ = (-2)·(-2)·(-2) = -8

As a general rule, odd exponents will yield positive answers when x > 0 and negative answers when x < 0. Even exponents yield positive answers whether x > 0 or x < 0.