Question

So sánh:(-1/5)^30 và (-1/5)^50

Answer 1

Có : (-1/5)^30 = -1/5^30

(-1/5)^50 = -1/5^50

Ta có : 5^30 < 5^50 => 1/5^30 > 1/5^50

=> -1/5^30 < -1/5^50

=> (-1/5)^30 < (-1/5)^50

Tk mk nha

Answer 2

\(\left(\frac{-1}{5}\right)^{30}=-\left(\frac{1}{5}\right)^{30}=-\left(\frac{1}{5^{30}}\right)\)

\(\left(\frac{-1}{5}\right)^{50}=-\left(\frac{1}{5}\right)^{50}=-\left(\frac{1}{5^{50}}\right)\)

ta thấy \(5^{30}< 5^{50}\Rightarrow\frac{1}{5^{30}}>\frac{1}{5^{50}}\Rightarrow-\left(\frac{1}{5^{30}}\right)< -\left(\frac{5}{5^{50}}\right)\)

\(\Rightarrow\left(\frac{-1}{5}\right)^{30}< \left(\frac{-1}{5}\right)^{50}\)