Question

Simplify the following using law of exponents.
$(-3{)}^3\times (-5{)}^3$ = $m^3$. Find m

Answer 1

we know,

$a^m{b}^m=(ab{)}^m$

so,

$\Rightarrow (-3{)}^3\times (-5{)}^3$

$=(-3\times -5{)}^3$

$={15}^3$

$\Rightarrow m=15$