Question

Apply laws of exponents and simplify :
${\left({10}^3\right)}^2\times {\left({10}^2\right)}^3$

Answer 1

${\left({10}^3\right)}^2\times {\left({10}^2\right)}^3$

$={10}^6\times {10}^6$ using ${\left(a^m\right)}^n=a^{mn}$

$={10}^{6+6}$ using $a^m\times a^n=a^{m+n}$

$={10}^{12}$

$=1,000,000,000,000$