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

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

If (frac{3^{(1-n)}}{9^{-2n}}=frac{1}{9}) find n
  • A.
    (-frac{3}{2})
  • B.
    (frac{1}{3})
  • C.
    -1
  • D.
    -3
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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