How many digits are located to the right of the decimal point when $\frac{3^6}{6^4\cdot625}$ is expressed as a decimal?How many digits are l

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$$How many digits are located to the right of the decimal point when $\frac{3^6}{6^4\cdot625}$ is expressed as a decimal?$$

Mellie May 28, 2015

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+15

Best Answer

$$\frac{3^6}{6^4\cdot625}\rightarrow\frac{3^6}{6^4\cdot5^4}\rightarrow 9\cdot (\frac{3}{30})^4\rightarrow \frac{9}{10^4}\rightarrow 0.0009$$

so there are 4 digits to the right of the decimal point.

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Alan May 28, 2015

Alan · Answer 1 · 2015-05-28T09:06:57

$$\frac{3^6}{6^4\cdot625}\rightarrow\frac{3^6}{6^4\cdot5^4}\rightarrow 9\cdot (\frac{3}{30})^4\rightarrow \frac{9}{10^4}\rightarrow 0.0009$$

so there are 4 digits to the right of the decimal point.

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