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KiRa [710]
3 years ago
7

Suppose that x and y are positive integers such that x^2 * y^3=46656. What is the sum of all possible values of x?

Mathematics
1 answer:
Nostrana [21]3 years ago
3 0

Answer:

252

Step-by-step explanation:

  • x² * y³=46656

<u>Prime factors of 46656:</u>

  • 46656 = 2⁶3⁶

<u>Possible values of x:</u>

  • (2*3)³= 216
  • 3³ = 27
  • 2³ = 8
  • 1

<u>Sum of them:</u>

  • 216 + 27 + 8 + 1 = 252
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