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23 Jun 2015, 23:35
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C
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Question Stats:
93% (01:00) correct
7%
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Which of the following is equivalent to \((\frac{1}{3})^{-4}*(\frac{1}{9})^{-3}*(\frac{1}{27})^{-2}\)?
A. \((\frac{1}{3})^{-8}\)
B. \((\frac{1}{3})^{-9}\)
C. \((\frac{1}{3})^{-16}\)
D. \((\frac{1}{3})^{-18}\)
E. \((\frac{1}{3})^{-144}\)
Kudos for a correct solution.
A. \((\frac{1}{3})^{-8}\)
B. \((\frac{1}{3})^{-9}\)
C. \((\frac{1}{3})^{-16}\)
D. \((\frac{1}{3})^{-18}\)
E. \((\frac{1}{3})^{-144}\)
Kudos for a correct solution.
24 Jun 2015, 02:17
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\((\frac{1}{3})^{-4}\)∗\((\frac{1}{9})^{-3}\)∗\((\frac{1}{27})^{-2}\)
\((\frac{1}{3})^{-4}\)∗\((\frac{1}{3})^{-6}\)∗\((\frac{1}{3})^{-6}\)
\((\frac{1}{3})^{-4-6-6}\)
\((\frac{1}{3})^{-16}\)
Ans:C
\((\frac{1}{3})^{-4}\)∗\((\frac{1}{3})^{-6}\)∗\((\frac{1}{3})^{-6}\)
\((\frac{1}{3})^{-4-6-6}\)
\((\frac{1}{3})^{-16}\)
Ans:C
24 Jun 2015, 10:15
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Arranging equation we can write 1/9 = (1/3)^2; 1/27= (1/3)^3 hence we have
(1/3)^-4 *{(1/3) ^-3*2 } * { (1/3)^-2*3}=
(1/3)^-4 * (1/3)^-6 * (1/3)^-6=
(1/3)^-16
Hence answer is C
Thanks,
(1/3)^-4 *{(1/3) ^-3*2 } * { (1/3)^-2*3}=
(1/3)^-4 * (1/3)^-6 * (1/3)^-6=
(1/3)^-16
Hence answer is C
Thanks,
