AMC8 1993
AMC8 1993 · Q7
AMC8 1993 · Q7. It mainly tests Exponents & radicals.
3³ + 3³ + 3³ =
$3^3 + 3^3 + 3^3 =$
(A)
3⁴
3⁴
(B)
9³
9³
(C)
3⁹
3⁹
(D)
27³
27³
(E)
3²⁷
3²⁷
Answer
Correct choice: (A)
正确答案：（A）
Solution
\[3^3+3^3+3^3=3(3^3)=3(3\times3\times3)=3\times3\times3\times3=3^4.\]
OR
\[3^3+3^3+3^3=27+27+27=81=9\times9=3\times3\times3\times3=3^4.\]
\[3^3+3^3+3^3=3(3^3)=3(3\times3\times3)=3\times3\times3\times3=3^4.\]
或
\[3^3+3^3+3^3=27+27+27=81=9\times9=3\times3\times3\times3=3^4.\]
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