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Primes and divisibility word problem

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When the accountants for lose-a-digit Computer, Inc. had finished preparing their annual budget, they presented the final figures to the president, I.M. Smart. "It looks like a good year," he exclaimed. "The amount of the budget just happens to be the smallest number of cents (other than one cent) that is a perfect square, a perfect cube, and a perfect fifth power." How much money has Lose-a-digit budgeted for the year?

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Solution Summary

The smallest number (other than one) that is a perfect square, a perfect cube, and a perfect fifth power is calculated.

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