If \(27^{4x + 2}\cdot 162^{-2x}\cdot 36^x \cdot 9^{6 - 2x} = 1,\) then what is the value of \(x?\) - The Beat The GMAT Forum

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If \(27^{4x + 2}\cdot 162^{-2x}\cdot 36^x \cdot 9^{6 - 2x} = 1,\) then what is the value of \(x?\)

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Vincen: Legendary Member; Posts: 2898; Joined: Thu Sep 07, 2017 2:49 pm; Thanked: 6 times; Followed by:5 members

If \(27^{4x + 2}\cdot 162^{-2x}\cdot 36^x \cdot 9^{6 - 2x} = 1,\) then what is the value of \(x?\)

by Vincen » Thu Nov 05, 2020 4:09 am

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If \(27^{4x + 2}\cdot 162^{-2x}\cdot 36^x \cdot 9^{6 - 2x} = 1,\) then what is the value of \(x?\)

A. -9
B. -6
C. 3
D. 6
E. 9

Answer: A

Source: Manhattan GMAT

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Source: Beat The GMAT — Problem Solving | Thu Nov 05, 2020 4:09 am

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If \(27^{4x + 2}\cdot 162^{-2x}\cdot 36^x \cdot 9^{6 - 2x} = 1,\) then what is the value of \(x?\)

This topic has expert replies

If \(27^{4x + 2}\cdot 162^{-2x}\cdot 36^x \cdot 9^{6 - 2x} = 1,\) then what is the value of \(x?\)

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Your Answer

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