Answer
$8.763\times 10^{-1}.$
Work Step by Step
We simplify by using the rules of the exponents as follows:
$$
\frac{(7.6\times10^{13})(5.35 \times 10^{-6})}{4.64\times10^{8}}=\frac{40.66\times 10^7}{4.64\times10^{8}}=8.763\times 10^{-1}.
$$