Answer
True
Work Step by Step
RECALL:
(i) $a^m \cdot a^n = a^{m+n}$
(ii) $(a^m)^n=a^{mn}$
Use the rules above to obtain:
$\\=2^3(x^2)^3(y^3)^3 (-xy^2)
\\=8x^{2(3)}y^{3(3)} (-xy^2)
\\=8x^6y^9 (-xy^2)
\\=-8x^{6+1}y^{9+2}
\\=-8x^7y^{11}$
Thus, the given statement is true.