Library / /64 of 297

, 2014

Algebra Difficulty 1.3 Junior Find the answer Canada

The value of $2^4-2^3$ is

Pick one

Solution

We note that $2^2 = 2\times 2 = 4$ , $2^3 = 2^2 \times 2 = 4 \times 2 = 8$ , and $2^4 = 2^2 \times 2^2 = 4 \times 4 = 16$ .

Therefore, $2^4-2^3=16-8=8=2^3$ .

Want a route through all this instead of an archive? The track puts 2,444 problems in a working order, from Junior Challenge level to the IMO shortlist.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.