Answer
$4.2875 \times 10^{-11}$
Work Step by Step
RECALL:
(i) $(ab)^m=a^mb^m$
(ii) $(a^m)^n=a^{mn}$
(iii) $a^{-m} = \dfrac{1}{a^m} a\ne0$
Use the rules above to obtain:
$=3.5^{3} \times (10^{-4})^{3}
\\=42.875 \times 10^{-4\cdot 3}
\\=(4.2875 \cdot 10) \times 10^{-12}
\\=4.2875 \times 10^{1+(-12)}
\\=4.2875 \times 10^{-11}$