What would be the value of $x$ for the equation $2^{- x} = 2^{7}$ ?

-5

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-7

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Solution

The correct option is B -7
$2^{- x} = 2^{7}$
Using laws of exponents, as bases are same, we can equate the exponents of the equation $2^{- x} = 2^{7}$ .
Hence, $- x = 7$
$∴ x = - 7$

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