Answer
$-15a^{5}b^{2}$
Work Step by Step
Step 1: $(-3a^{2}b)(5a^{3}b)$
Step 2: $(-3\times5)\times(a^{2}\times a^{3})\times (b\times b)$
Step 3: $(-15)\times(a^{2+3})\times (b^{1+1})$
Step 4: $(-15)\times(a^{5})\times (b^{2})$
Step 5: $-15a^{5}b^{2}$