Question

Write the decimal expansion of .

Answer 1

Decimal expansion:
$$\begin{gathered} \frac{73}{\left(2^4\times 5^3\right)}=\frac{73\times 5}{2^4\times 5^4} \\ =\frac{365}{{\left(2\times 5\right)}^4} \\ =\frac{365}{{\left(10\right)}^4} \\ =\frac{365}{10000} \\ =0.0365 \end{gathered}$$

Thus, the decimal expansion of $\frac{73}{\left(2^4\times 5^3\right)}$ is 0.0365.