Math help please?
How many pairs of integers (a, b) satisfy the equation a^b=1296?
回答 (3)
1296 = 2⁴ × 3⁴
Hence, 1298 = 6⁴ = 36² = 1296¹
There are 3 pairs of integers (a, b) satisfy the equation aᵇ = 1296, i.e.
(6, 4), (36, 2) and (1296, 1)
1296 = 6^4
1296 = (−6)^4
1296 = 6^(2*2) = (6^2)^2 = 36^2
1296 = (−36)^2
1296 = 1296^1
5 integer solutions: (6,4), (−6,4), (36,2), (−36,2), (1296,1)
收錄日期: 2021-04-18 18:00:47
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