Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
![](https://rs.olm.vn/images/avt/0.png?1311)
a) b) c)
523=5.522 216=213.23=213.8 275.498=(33)5.(72)8=38.710
5.522<6.522 => 523<6.522 213.8>7.213 =>7.213<216 2115=(3.7)15=315.715 mà 315.715>38.710 nên 275.498> 2115
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) Ta có: \(2^{13}< 2^{16}\)
Mà \(7.2^{13}\)
\(\Rightarrow7.2^{13}>2^{16}\)
b) Ta có: \(199^{20}=\left(199^4\right)^5\)
\(2003^{15}=\left(2003^3\right)^5\)
Vì \(199^4< 2003^3\)
Vậy \(199^{20}< 2003^{15}\)
c) Ta có: \(3^{39}=\left(3^{13}\right)^3\)
\(11^{21}=\left(11^7\right)^3\)
Vì \(3^{14}< 11^7\)
Vậy \(3^{39}< 11^{21}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(a.199^{20}< 200^{20}=200^{15}.200^5\)
\(2003^{15}>2000^{15}=200^{15}.10^{15}=200^{15}.\left(10^3\right)^5=200^{15}.1000^5\)
\(Vì200^{15}.200^5< 200^{15}.1000^5\)
\(=>199^{20}< 2003^{15}\)
\(b.3^{99}=\left(3^3\right)^{33}=27^{33}\)
\(Vì27^{33}>11^{21}\)
\(=>3^{99}>11^{21}\)
Ủng hộ mk nha ^_-
b: \(7\cdot2^{13}< 8\cdot2^{13}=2^{16}\)
d: \(3^{99}=\left(3^{33}\right)^3\)
\(11^{21}=\left(11^7\right)^3\)
mà \(3^{33}>11^7\)
nên \(3^{99}>11^{21}\)