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Author:  Bunuel [ 27 Jun 2022, 19:15 ] 
Post subject:  If x is a positive integer, and m = 1^(x+1), then what is the value of 
If x is a positive integer, and \(m=3^{x+1}\), then what is the value of \(9^{2x}\) in terms of m? (A) \(\frac{m^2}{9}\) (B) \(\frac{m^2}{81}\) (C) \(\frac{m^3}{9}\) (D) \(\frac{m^4}{3}\) (E) \(\frac{m^4}{81}\) 
Author:  Iotaa [ 27 Jun 2022, 20:50 ] 
Post subject:  Re: If x is a positive integer, and m = 1^(x+1), then what is the value of 
Bunuel wrote: If x is a positive integer, and \(m=3^{x+1}\), then what is the value of \(9^{2x}\) in terms of m? (A) \(\frac{m^2}{9}\) (B) \(\frac{m^2}{81}\) (C) \(\frac{m^3}{9}\) (D) \(\frac{m^4}{3}\) (E) \(\frac{m^4}{81}\) \(m=3^{x+1}\); \(Also, m=3^{x} *3\) \(9^{2x} = 3^{4x} = 3^{x} X 3^{x} X 3^{x} X 3^{x}\) \( Also, 3^{x}\) = m/3 => \(3^{x} X 3^{x} X 3^{x} X 3^{x}\) = m/3 X m/3 X m/3 X m/3 = \(m^{4}/81\) , option E 
Author:  Kinshook [ 27 Jun 2022, 21:24 ] 
Post subject:  Re: If x is a positive integer, and m = 1^(x+1), then what is the value of 
Asked: If x is a positive integer, and \(m=3^{x+1}\), then what is the value of \(9^{2x}\) in terms of m? \(9ˆ{2x+2} = 81*9ˆ{2x} = 3ˆ{4x + 4} = mˆ4\) \(9ˆ{2x} = \frac{mˆ4}{81} \) IMO E 
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