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If \(\frac{3^{(1-n)}}{9^{-2n}}\) = \(\frac{1}{9}\) find n

Mathematics
WAEC 2003

If \(\frac{3^{(1-n)}}{9^{-2n}}\) = \(\frac{1}{9}\) find n

  • A. \(-\frac{3}{2}\)
  • B. \(\frac{1}{3}\)
  • C. -1
  • D. -3
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Correct Answer: Option C
Explanation

\(\frac{3^{(1-n)}}{9^{-2n}}\) =\(\frac{1}{9}\)
3\(^{1-n}\times 3^{-2(-2n)} = 3^{-2}\)
1 - n - 2(-2n) = -2
1 - n + 4n = -2
n = -1


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