Question

How does (x^3)^3 = x^6 ?

Answer 1

Answer:

It does not, unless $x=0$ or $x=1$

If you remember how to raise a power to a given power you remember to multiply the exponents (or, if you don't, apply the definition of $(x^3)^3=(x^3)(x^3)(x^3)=x^9$

At this point you're being asked if $x^9=x^6$ and the only two numbers for which this is true are 0 and 1 (side note: if the left hand side was an even function also $-1$ was a possible candidate, but alas 9 is odd).