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2003 AMC 10AProblem 9P1-10~2 minPrint
Exponents, Logarithms & RadicalsSet up the equation/formula and compute; no special trick neededCompute small cases, spot the pattern, generalize

Simplify xxxx333\sqrt[3]{x\sqrt[3]{x\sqrt[3]{x\sqrt{x}}}} .

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.