any example of non-zero ordinals $a,b,c$ for which $a < b$, but $a^c \ge b^c$?

Question

I am working from a book that gives the above problem, but no solution ;^(.

That is:

Show an example of non-zero ordinals $a,b,c$ for which $a < b$, but $a^c \ge b^c$.

Exponentiation here is ordinal exponentiation. Thanks in advance for any help you can provide !

Answer 1

HINT: Take $c=\omega$. $\qquad\qquad$