Question

So sánh

\(\left(\frac{1}{6}\right)^{10}\)và \(\left(\frac{1}{2}\right)^{50}\)

Answer 1

(\(\frac{1}{2}\))⁵⁰=(\(\frac{1}{2^5}\))¹⁰=(\(\frac{1}{32}\))¹⁰

Do 1/6> 1/30 nên (\(\frac{1}{6}\))¹⁰>(\(\frac{1}{2}\))⁵⁰

Answer 2

\(\left(\frac{1}{2}\right)^{50}=\left[\left(\frac{1}{2}\right)^5\right]^{10}=\left[\frac{1^5}{2^5}\right]^{10}=\left[\frac{1}{32}\right]^{10}\)

Vì 2 phân số này có cùng tử mà 6 < 30 

=> \(\frac{1}{6}>\frac{1}{30}\)

=> \(\left(\frac{1}{6}\right)^{10}>\left(\frac{1}{2}\right)^{50}\)