SMO 2024 Junior Round 1 Question 2
SMO · SMO 2024 Junior Round 1
Let $a$ be a real number that satisfies $-1\lt a\lt 0$. Which of the following is true?
$\pi^a\lt \frac1\pi\lt (\frac1\pi)^a$
$\pi^a\lt (\frac1\pi)^a\lt \frac1\pi$
$\frac1\pi\lt (\frac1\pi)^a\lt \pi^a$
$\frac1\pi\lt \pi^a\lt (\frac1\pi)^a$
$(\frac1\pi)^a\lt \pi^a\lt \frac1\pi$