Question

so sánh các số a,b,c 

a=2¹⁰⁰

b=3⁷⁵

c=5⁵⁰

 

Answer 1

\(a=2^{100}=\left(2^4\right)^{25}=16^{25}\)

\(b=3^{75}=\left(3^3\right)^{25}=27^{25}\)

\(c=5^{50}=\left(5^2\right)^{25}=25^{25}\)

Vì:     \(16^{25}< 25^{25}< 27^{25}\Rightarrow2^{100}< 5^{50}< 3^{75}\Rightarrow a< c< b\)

tíc mình nha

Answer 2

so sánh các số a,b,c 

a=2¹⁰⁰

b=3⁷⁵

c=5⁵⁰

 \(=2^{100}=\left(2^{20}\right)^5\)

\(3^{75}=\left(3^{15}\right)^5\)

\(5^{50}=\left(5^{10}\right)^5\)

Answer 3

\(a=2^{100}=\left(2^4\right)^{25}=16^{25}\)

\(b=3^{75}=\left(3^3\right)^{25}=27^{25}\)

\(c=5^{50}=\left(5^2\right)^{25}=25^{25}\)

Vì: \(16^{25}< 25^{25}< 27^{25}\Rightarrow2^{100}< 5^{50}< 3^{75}\Rightarrow a< c< b\)