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

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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VJesus12: Legendary Member; Posts: 2276; Joined: Sat Oct 14, 2017 6:10 amFollowed by: 3 members

by VJesus12 » Sat Nov 27, 2021 5:59 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 | Sat Nov 27, 2021 5:59 am

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