+0  
 
+1
303
2
avatar+3031 

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

tertre  Mar 20, 2017
 #1
avatar+7266 
+3

\(\frac{3^6}{6^4\cdot625}=\frac{729}{1296\cdot625}=\frac{729}{810,000}=0.0009\)

 

..so 4

hectictar  Mar 20, 2017
 #2
avatar+93307 
+3

How many digits are located to the right of the decimal point when   is expressed as a decimal?

 

\(\frac{3^6}{6^4\times 625}\\ =\frac{3^6}{2^4\times 3^4\times 625}\\ =\frac{3^2}{2^4\times 5^4}\\ =\frac{3^2}{10^4}\\ =9*10^{-4}\\ \therefore\\ \text{4 places after the point}\)

Melody  Mar 20, 2017

9 Online Users

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.