#### Answer

The given statement is false.
A corrected statement is:
$(a^2)^3 = a^6$

#### Work Step by Step

RECALL:
$(a^m)^n = a^{mn}$
Thus,
$(a^2)^3 = a^{2(3)} = a^6$
Therefore, the given statement is false.
A corrected statement is:
$(a^2)^3 = a^6$