Question

Evaluate the exponential expression $(-m{)}^3\times (-m{)}^2$, for $m=3$.

Answer 1

$(-m{)}^3\times (-m{)}^2$
$m=3$
$=(-3{)}^3\times (-3{)}^2$
$=(-27)\times 9$
$=-243$

Alternative:
$(-m{)}^3\times (-m{)}^2$
$=(-m{)}^{3+2}[\because a^m\times a^n=a^{m+n}]$
$=(-m{)}^5$
$=(-3{)}^5[substitutingm=-3]$
$=-243$