## Algebra 1

$243x^3$
(i) $(a^m)^n = a^{mn}$ (ii) $(ab)^m=a^mb^m$ (ii) $a^m \cdot a^n =a^{m+n}$ Use the rules above to obtain: $=3^2(3^3x^3) \\=3^{2+3}x^3 \\=3^5x^3 \\=243x^3$