Library / UKMT Senior Mathematical Challenge /38 of 212

UKMT Senior Mathematical Challenge, 2017

Algebra Difficulty 1.0 Junior Find the answer United Kingdom

When evaluated, which of the following is not an integer?

(A) $1^{-1}$ (B) $4^{-\frac{1}{2}}$ (C) $6^0$ (D) $8^{\frac{2}{3}}$ (E) $16^{\frac{3}{4}}$

We don't reproduce this publisher's solutions. Their own solution is here — work the problem first.

Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

Source: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.