Question

Simplify the following using law of exponents.
$2^{3a+7}\times 2^{7a+3}$ = $2^{M(a+1)}$. Find M

Answer 1

$2^{3a+7}\times 2^{7a+3}=2^{M(a+1)}$

$2^{3a+7+7a+3}=2^{M(a+1)}$

$2^{10(a+1)}=2^{M(a+1)}$

$\Rightarrow M=10$