Question

SO SÁNH 
a) \(16^{19}\)và \(8^{15}\)

b)  \(27^{11}\)và \(81^8\)

c)\(625^5\)và \(125^7\)

d) \(244^{11}\)và \(80^{13}\)

e) \(31^{17}\)và \(17^{14}\)

Answer 1

a)16¹⁹<8¹⁵

b)27¹¹<81⁸

Answer 2

\(a)16^{19}=\left(8\times2\right)^{19}=8^{19}\times2^{19}>8^{19}>8^{15}\)

\(\Rightarrow16^{19}>8^{15}\)

\(b)81^8=\left(3^4\right)^8=3^{24}< 3^{33}=\left(3^3\right)^{11}=27^{11}\)

\(\Rightarrow27^{11}>81^8\)

\(c)625^5=\left(5^4\right)^5=5^{20}< 5^{21}=\left(5^3\right)^7=125^7\)

\(\Rightarrow125^7>625^5\)

\(d)244^{11}>243^{11}=\left(3^5\right)^{11}=3^{55}>3^{52}=\left(3^4\right)^{13}=81^{13}>80^{13}\)

\(\Rightarrow244^{11}>80^{13}\)

\(d)31^{17}>17^{17}>17^{14}\)

\(\Rightarrow31^{17}>17^{14}\)