## Algebra 1

$10^{9}$ $millimeter^{3}$
$1$ $meter$ = $10^{3}$ $millimeter$ Hence, $1$ $cubic$ $meter$ = $1$ $meter^{3}$ = $(10^{3} millimeter)^{3}$ This becomes : $1$ $cubic$ $meter$ $=$ $10^{9}$ $millimeter^{3}$ $($$since$ $(a^{m})^{n}=a^{mn})$ Final result : $1$ $cubic$ $meter$ = $10^{9}$ $millimeter^{3}$