Answer
$8m^7+16m^3$
Work Step by Step
(i) $a^m \cdot a^n = a^{m+n}$
(ii) $x(y+z) = xy + xz$
Use rule (ii) above by multiplying $8m^3$ to each term of the binomial to obtain:
$=8m^3(m^4) + 8m^3(2) $
Multiply the coefficients together, and then apply rule (i) above to obtain:
$\\=8m^{3+4} + 16m^3
\\=8m^7+16m^3$