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Julik
[tex]216= (\frac{1}{36} )^{x-1} \\ 216=(36^{-1})^{x-1} \\ 216=36^{1-x} \\ 216=36^1*36^{-x} \\ 36^{-x}=216:36 \\ 36^{-x}=6 \\( 6^2)^{-x}=6 \\ 6^{-2x}=6^1 \\ -2x=1 \\ x=- \frac{1}{2} [/tex]
shubhamchouhanvrVT

The value of x for the expression will be equal to x= -1/2.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition,substraction, multiplication and division.

The value of x will be calculated as:-

[tex]216=(\dfrac{1}{36})^{x-1}\\\\\\216=(36)^{1-x}\\\\\\216=36\times 36^{-x}\\\\\\\dfrac{216}{36}=36^{-x}\\\\\\6=(36)^{-x}\\\\\\6=(6)^{-2x}\\\\\\x=\dfrac{-1}{2}[/tex]

Hence value of x for the expression will be equal to x= -1/2.

To know more about Expression follow

https://brainly.com/question/723406

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