## Elementary Algebra

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.