SOLUTION: 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 goo

Algebra ->  Divisibility and Prime Numbers -> SOLUTION: 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 goo      Log On


   

Question 871316: 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?
Answer by Edwin McCravy(20065) About Me  (Show Source):
You can put this solution on YOUR website!
So it must be of the form 2%5En where n is divisible by 2,3 and 5.

The LCM of 2,3, and 5 is 30.

So the budget is 2%5E30 = 1,073,741,824¢ or $10,737,418.24 

Edwin