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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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Related questions

What is the fifth square number?

It is 5*5 = 25


What is the fifth perfect number?

The fifth perfect number is 33,550,336.


What is the sum of the fifth prime number the sixth composite number and the third perfect square?

11 + 12 + 9 = 32


Fifth smallest prime number?

11 is the 5th smallest prime #


What is the fifth smallest prime number?

11


What is the fifth square?

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


Why is twenty five the fifth square number?

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


What is the second largest whole number which is a perfect square a perfect cube and a perfect fifth power?

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 square number including one?

36


What is the fifth smallest state?

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.


Which fraction is the smallest one six or five nine or one fifth?

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


Which integer between 2 and 200000000000000 is a perfect square a perfect cube and a perfect fifth power?

If a number is a perfect square, then its prime factors can be split into two identical groups: if a perfect cube, three groups; if a perfect fifth power, five groups. The best way to attain this sort of 'symmetry' is to only use one prime factor. Since we are looking for small (ish) solutions, we'll use 2. It only remains to decide how many 2's to multiply together. The number needs to be divisible by 2, 3 and 5. We are looking for the lowest common denominator of 2, 3 and 5, which is 30. 22x3x5 = 230 = 1073741824 = (22x3)5 = (22x5)3 = (23x5)2 The next smallest solution is given by 330 = 205891132094649, which is just a little bit bigger than 2 x 1014. So the question is correct in assuming that only one answer exists.


What is the fifth smellest prime number?

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.


What type of interval results from the inversion of a Perfect Fifth?

Perfect 4th


What is the fifth smallest country in the world?

The 5th smallest country in the world is San Marino.


Is the earth the biggest or smallest planet?

Neither, it's the fifth largest and the fourth smallest.


Is Delaware the smallest state?

No, it is the second smallest state geographically (behind Rhode Island) and has the fifth smallest population.


What is a music definition for the term open fifth?

a triad with no third. its just the perfect fifth.


What is the perfect fifth power of 320?

3,355,443,200,000


Distance between a and d in music?

From any a up to the nearest d, it is a fourth, or perfect fourth. From any d up to the nearest a, it is a fifth, or perfect fifth.


Is New Jersey the third smallest state?

No, New Jersey is the fifth smallest state. Connecticut is the third smallest state when ranked by area.


How many perfect intervals are there?

Within an octave there are four perfect intervals: perfect unison (P1), perfect fourth (P4), perfect fifth (P5), and perfect octave (P8).


What is the square root of the fifth root of x?

The square root of the fifth root of x is the tenth root of x.


What is the fifth triangular number?

The fifth triangular number is 15


Is earth the fifth smallest planet?

Well it would be but since Pluto is no longer a planet it is the fourth smallest planet