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If p(1)^(x(1))timesp(2)^(x(2))timesp(3)^...

If `p_(1)^(x_(1))timesp_(2)^(x_(2))timesp_(3)^(x_(3))timesp_(4)^(x_(4))=11340` where `p_(1), p_(2), p_(3), p_(4)` are primes in ascending order and `x_(1), x_(2), x_(3), x_(4)` are integers, find the value of `p_(1), p_(2), p_(3), p_(4) and x_(1), x_(2), x_(3), x_(4)`.

Text Solution

Verified by Experts

The correct Answer is:
`p_(1)=2, x_(1)=3`
`p_(2) = 3, x_(2) =4`
`p_(3) = 5, x_(3)=2`
`p_(4) =7, x_(4)=1`
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