SOLUTION: if p/q= {(2/3)to the power 3 + (3/2) to the power -3 }, what is the value of (p/q) to the power -10?

Algebra ->  Algebra  -> Exponents-negative-and-fractional -> SOLUTION: if p/q= {(2/3)to the power 3 + (3/2) to the power -3 }, what is the value of (p/q) to the power -10?      Log On

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Question 211209: if p/q= {(2/3)to the power 3 + (3/2) to the power -3 },
what is the value of (p/q) to the power -10?
Answer by Alan3354(21612) About Me  (Show Source):
You can put this solution on YOUR website!
if p/q= {(2/3)to the power 3 + (3/2) to the power -3 },
what is the value of (p/q) to the power -10?
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p%2Fq+=+%282%2F3%29%5E3+%2B+%283%2F2%29%5E-3
p%2Fq+=+%282%2F3%29%5E3+%2B+%282%2F3%29%5E3
p%2Fq+=+2%288%2F27%29
p/q = 16/27
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%28p%2Fq%29%5E-10+=+%28q%2Fp%29%5E10
= (27/16)^10
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= 3^30/2^40
= 205891132094649/1099511627776
= ~187.25689