Question:
Write the decimal expansion of $\frac{73}{\left(2^{4} \times 5^{3}\right)}$.
Solution:
Decimal expansion:
$\frac{73}{\left(2^{4} \times 5^{3}\right)}=\frac{73 \times 5}{2^{4} \times 5^{4}}$
$=\frac{365}{(2 \times 5)^{4}}$
$=\frac{365}{(10)^{4}}$
$=\frac{365}{10000}$
$=0.0365$
Thus, the decimal expansion of $\frac{73}{\left(2^{4} \times 5^{3}\right)}$ is $0.0365$.
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