1993 AMC 8 Problem 7

Below is the professionally curated solution for Problem 7 of the 1993 AMC 8, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1993 AMC 8 solutions, or check the answer key.

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Concepts:exponent

Difficulty rating: 660

7.

33+33+33=3^3 + 3^3 + 3^3 =

343^4

939^3

393^9

27327^3

3273^{27}

Solution:

Adding three equal terms, 33+33+33=3×33=34=81.3^3 + 3^3 + 3^3 = 3 \times 3^3 = 3^4 = 81.

Thus, the correct answer is A .

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