SOLUTION: If the product 2352k is a perfect fifth power, what is the smallest possible value of k, where k is a positive integer?
Algebra.Com
Question 1009055: If the product 2352k is a perfect fifth power, what is the smallest possible value of k, where k is a positive integer?
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Since 2352 factors out to be
2^4 * 3 * 7^2, you would need k to be number that makes all of those factors into fifth powers...thus
k = 2 * 3^4 * 7^3 = 55566
RELATED QUESTIONS
If the product 2352k is a perfect fifth power, what is the smallest possible value of k,... (answered by Alan3354)
If the product 19845k is a perfect cube, what is the smallest possible value of k if k is (answered by Edwin McCravy)
What is the smallest integer k that will make the product 147k a perfect square (answered by ikleyn)
If k is a positive integer divisible by 3, and if k < 60, what is the greatest possible... (answered by nyc_function)
Find the smallest positive integer n such that 2n is a perfect square, 3n is a perfect... (answered by mszlmb,Prithwis,lyra,amit5562)
find the smallest value of k such that 2x²*3²*5*k is a perfect square (answered by greenestamps)
1)If 525K is a perfect square,find the smallest possible integer value of k?
2)Given... (answered by Alan3354)
The sum of 18 consecutive odd integers is a perfect fifth power of n. If x is the... (answered by greenestamps)
What is the smallest integer value of k such that (1/2)to the power of k <... (answered by stanbon,MathTherapy)