so sanh
\(\left(\frac{1}{243}\right)^9va\left(\frac{1}{83}\right)^{13}\)
so sánh 2 phân số:
\(\left[\frac{1}{243}\right]^9và\left[\frac{1}{83}\right]^{13}\)
So sánh hai phân số:
\(\left(\frac{1}{243}\right)^9và\left(\frac{1}{83}\right)^{13}\)
\(\left(\frac{1}{243}\right)^9=\left(\frac{1}{3^4}\right)^9=\frac{1}{3^{4.9}}=\frac{1}{3^{36}}\)
\(\left(\frac{1}{83}\right)^{13}\frac{1}{3^{42}}\Rightarrow\left(\frac{1}{81}\right)^{13}
So sánh:
\(^{ }\left(\frac{1}{243}\right)^9\) và \(\left(\frac{1}{83}\right)^{13}\)
tham khảo nha
http://olm.vn/hoi-dap/question/166511.html
ta có: \(\left(\frac{1}{243}\right)^9\)>\(\left(\frac{1}{83}\right)^{13}\)
So sánh
\(\left(\frac{1}{243}\right)^9\) và \(\left(\frac{1}{83}\right)^{13}\)
ta co( \(\frac{1}{243}\))9=(\(\frac{1}{3}\))45=(\(\frac{1}{81}\))11,25<(\(\frac{1}{83}\))13
ta co( \(\frac{1}{243}\))9=(\(\frac{1}{3}\))45=(\(\frac{1}{81}\))11,25<(\(\frac{1}{83}\))13
So sánh hai phân số :
\(\left(\frac{1}{243}\right)^9\)và \(\left(\frac{1}{83}\right)^{13}\)
So sánh :
a) \(\left(\frac{1}{243}\right)^9\) và \(\left(\frac{1}{83}\right)^{13}\)
b)1990^10+1990^9 và 1991^10
a) \(\left(\frac{1}{243}\right)^9=\left(\frac{1}{3^5}\right)^9=\frac{1}{3^{45}}\)
\(\left(\frac{1}{83}\right)^{13}< \left(\frac{1}{81}\right)^{13}=\left(\frac{1}{3^4}\right)^{13}=\frac{1}{3^{52}}< \frac{1}{3^{45}}=\left(\frac{1}{243}\right)^9\Rightarrow\left(\frac{1}{83}\right)^{13}< \left(\frac{1}{243}\right)^9\)
b) 199010 + 19909
= 19909 ( 1990 + 1 )
= 19909 . 1991 < 199110 = 19919 . 1991
Vậy 199010 + 19909 < 199110
so sánh:
\(127^{23}và513^{18}\)
\(\left(\frac{1}{243}\right)^9và\left(\frac{1}{83}\right)^{13}\)
\(So\)\(sanh\):
a)\(\left(\frac{1}{80}\right)^7\)và\(\left(\frac{1}{243}\right)^6\)
b)\(\left(\frac{3}{8}\right)^5\)và \(\left(\frac{5}{243}\right)^3\)
SO SÁNH
\(\left(\frac{1}{80}\right)^7va\left(\frac{1}{243}\right)^6\)
\(\left(\frac{3}{5}\right)^5va\left(\frac{5}{243}\right)^3\)
\(\frac{-22}{35}va\frac{-103}{177}\)
\(\frac{84}{-83}va\frac{-337}{331}\)