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Q: What is the smallest whole number that is a perfect square a perfect cube and a perfect fifth power?

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The second LARGEST? Is that correct? I think the second SMALLEST is a much more sensible question. How could you possibly know which is the LARGEST, much less the second largest? The SMALLEST is of course 1. Since 1^2 = 1, 1^3 = 1 and 1^5 = 1. The second SMALLEST I could find is 1073741824. I didn't try all possible numbers, but that was the second smallest I could find. 1024^2 = 1073741824, 32768^3 = 1073741824 and 64^5 = 1073741824. My initial gut was 64, but it isn't a perfect 5th, 2^5 = 32 NOT 64. Just try a couple 5th powers and see which are factorable (into a perfect square and a perfect cube). If you have a graphing calculator (or a computer) you can use the 3rd root and square root functions to do the math for you. But 64^5 was the smallest I could find (other than 1). Other numbers like 12^5, 24^5 and 32^5 did not work-out but 64 did. Hope this helps!

New Mexico: 121,589.48 square miles.

2/10 (one fifth) of an acre is 8712 square feet. (745.78 square yards). 1 acre = 43560 square feet

A square pyramid has 5 vertices:4 (coplanar) vertices form the square base which gives the shape its name, and the fifth at an apex (above the base).A square based pyramid has 5 vertices, 8 edges and 5 faces

77.5 ft by 77.5 ft, about a fifth of a foot ball field (but that would be ~150 feet by 40 feet)

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It is 5*5 = 25

The fifth perfect number is 33,550,336.

11 + 12 + 9 = 32

11 is the 5th smallest prime #

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The fifth square number of a positive integer is equal to 52 = 25.

36

Because the 5th number which is 5 is the square root of 25.

The second LARGEST? Is that correct? I think the second SMALLEST is a much more sensible question. How could you possibly know which is the LARGEST, much less the second largest? The SMALLEST is of course 1. Since 1^2 = 1, 1^3 = 1 and 1^5 = 1. The second SMALLEST I could find is 1073741824. I didn't try all possible numbers, but that was the second smallest I could find. 1024^2 = 1073741824, 32768^3 = 1073741824 and 64^5 = 1073741824. My initial gut was 64, but it isn't a perfect 5th, 2^5 = 32 NOT 64. Just try a couple 5th powers and see which are factorable (into a perfect square and a perfect cube). If you have a graphing calculator (or a computer) you can use the 3rd root and square root functions to do the math for you. But 64^5 was the smallest I could find (other than 1). Other numbers like 12^5, 24^5 and 32^5 did not work-out but 64 did. Hope this helps!

What is the fifth smallest prime number? Prime numbers 1 to 100 .2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97. Look for the fifth smallest prime number.

New Jersey is the fifth smallest state of the United States of America, but has one of the largest population covering 20,175 square km, Thecapital is Trenton. New Jersey is surrounded by New York, Pennsylvania, and Delaware laying on the Atlantic Ocean.

One fifth is the only fraction in the list so it is the smallest.

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