By what number should $(- 6)^{- 2}$ be multiplied so that the product would be equal to $(9) - 1 .$ ?

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Solution

$(- 6)^{- 2}$ so that the product will become
$(9) - 1$ .
$\to (- 6)^{- 2}$ can be written as $\frac{1}{(- 6)^{2}}$
$= \frac{1}{36}$
Let the required number be $x$
According to the given condition,
$\frac{x}{36} = (9) - 1$
$x = 36 \times 8$
$x = 288$

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