The sum of the digits of \([(10^x)^y]-64=279.\) What is the value of \(xy?\)

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The sum of the digits of \([(10^x)^y]-64=279.\) What is the value of \(xy?\)

A. 28
B. 29
C. 30
D. 31
E. 32

Answer: E

Source: Veritas Prep