I guess splitting 288 into its factors would help and since you are looking for powers of 2 and 3 => 288 = (2^5)X(3^2)
Therefore, 2^x-1 = 16 & 3^y-2 = 1
Ans 16
GMATPrep - exponents again
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Cybermusings
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2^5 * 3^2 = 288
Hence x = 5 and y = 2
So 2^x-1 = 2^4
and 2^y-2 = 2^0 = 1
So answer becomes 2^4 * 1 = 16
Hence x = 5 and y = 2
So 2^x-1 = 2^4
and 2^y-2 = 2^0 = 1
So answer becomes 2^4 * 1 = 16
