Maths Olympiad Prep

Track / Stage 4 / 90 of 340 #350 of 1964

Problem 350

AMC 12 late, AIME early
Algebra Difficulty 4.6 Find the answer

Calculate: (1)4+(2)3+(3)2+(4)1=(-1)^{4}+(-2)^{3}+(-3)^{2}+(-4)^{1}=

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

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Official solution

Answer: -2.
Solution: Original expression =18+94=2=1-8+9-4=-2.

Source: NuminaMath-1.5, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.