Question

So sánh :

a , 32^10 và 8^13

b , 9^5 và 32^2

c , 16^19 và 8^25

d , 27^11 và 81^8

Answer 1

a) ta có: \(32^{10}\)=\(\left(2^5\right)^{10}\)= \(2^{50}\)

\(8^{13}\)= \(\left(2^3\right)^{13}\)= \(2^{39}\)

=> \(2^{50}>2^{39}\)=>\(32^{10}>8^{13}\)

b) ta có: \(9^5=\left(3^2\right)^5=3^{10}\)

\(32^2=\left(2^5\right)^2=2^{10}\)

=> \(3^{10}< 2^{10}\)=> \(9^5< 32^2\)

c, ta có \(16^{19}=\left(2^4\right)^{19}=2^{76}\)

\(8^{25}\)\(=\left(2^3\right)^{25}=2^{75}\)

=> \(2^{76}>2^{75}\)=> \(6^{19}>8^{25}\)

d, \(27^{11}=\left(3^3\right)^{11}=3^{33}\)

\(81^8=\left(3^4\right)^8=3^{32}\)

=> \(3^{33}>3^{32}\)=>