Question

So sánh:

\(\left(\frac{1}{16}\right)^{250}\) và \(\left(\frac{1}{2}\right)^{1500}\)

Answer 1

Ta có:

\(\left(\frac{1}{16}\right)^{250}=\left(\frac{1}{16}\right)^{250}.\)

\(\left(\frac{1}{2}\right)^{1500}=\left[\left(\frac{1}{2}\right)^6\right]^{250}=\left(\frac{1}{64}\right)^{250}.\)

Vì \(\frac{1}{16}>\frac{1}{64}\) nên \(\left(\frac{1}{16}\right)^{250}>\left(\frac{1}{64}\right)^{250}.\)

\(\Rightarrow\left(\frac{1}{16}\right)^{250}>\left(\frac{1}{2}\right)^{1500}.\)

Chúc bạn học tốt!