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, 2002

Number theory Difficulty 3.0 AMC 10/12 Find the answer Canada

The number of ordered pairs $(a,b)$ of integers which satisfy the equation $a^b = 64$ is

(A) $3$ (B) $5$ (C) $8$ (D) $6$ (E) $7$

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.