Answer
0.000036
Work Step by Step
$(1.2\times10^{-3})(3\times10^{-2})$ $\longrightarrow$ associative property
=$(1.2\times3)(10^{-3}\times10^{-2})$ $\longrightarrow$ multiply; add exponents if the base is the same
=$3.6\times10^{-5}$ $\longrightarrow$ move the decimal 5 places to the left
=$0.000036$