Question

SO SÁNH 

a>\(\frac{1}{2^{300}}\)VÀ \(\frac{1}{3^{200}}\)

b> \(\frac{1}{5^{199}}\) VÀ \(\frac{1}{3^{200}}\)

b> \(\left(\frac{1}{4}\right)^8\)VÀ \(\left(\frac{1}{8}\right)^5\)

c> \(\left(\frac{1}{10}\right)^{15}\) VÀ \(\left(\frac{3}{10}\right)^{20}\)

AI TRẢ LỜI NHANH NHẤT TUI CHO TICK

Answer 1

\(a.\frac{1}{2^{300}}=\frac{1}{\left(2^3\right)^{100}}=\frac{1}{8^{100}}\)

\(\frac{1}{3^{200}}=\frac{1}{\left(3^2\right)^{100}}=\frac{1}{9^{100}}\)

\(\text{Vì }\frac{1}{8}>\frac{1}{9}\Rightarrow\frac{1}{\left(2^3\right)^{100}}>\frac{1}{\left(3^2\right)^{100}}\Rightarrow\frac{1}{2^{300}}>\frac{1}{3^{200}}\)

\(b.\frac{1}{5^{199}}:\text{Giữ nguyên}\)

\(\frac{1}{3^{200}}=\frac{1}{3^{199}\cdot3}\)

\(\frac{1}{5^{199}}< \frac{1}{3^{199}\cdot3}\Rightarrow\frac{1}{5^{199}}< \frac{1}{3^{200}}\)

2 bài dưới bn làm tương tự nhé