How many digits are located to the right of the decimal point when \(\frac{3^6}{6^4\cdot625}\) is expressed as a decimal?
\(\frac{3^6}{6^4\cdot625}=\frac{729}{1296\cdot625}=\frac{729}{810,000}=0.0009\)
..so 4
How many digits are located to the right of the decimal point when is expressed as a decimal?
\(\frac{3^6}{6^4\times 625}\\ =\frac{3^6}{2^4\times 3^4\times 625}\\ =\frac{3^2}{2^4\times 5^4}\\ =\frac{3^2}{10^4}\\ =9*10^{-4}\\ \therefore\\ \text{4 places after the point}\)