For every real number

MATHEMATICS · Single correct · AoPS · Mathematics · Follow the Rules · Follow the Rules

Problem

a>1

, which of the following inequalities is always true? (a)

a^{1/3} > a^{1/2}

(b)

a^{-1} > a^{0}

(c)

a^{2} > a^{1}

(d)

a^{1} > a^{2}