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To simplify the expression ((4^5 \times 4^{-3})^{-2}), first combine the exponents: (4^{5 - 3} = 4^2). Then, raising it to the power of (-2) gives (4^{2 \times -2} = 4^{-4}), which is equal to (\frac{1}{4^4} = \frac{1}{256}). Therefore, the expression is equal to (\frac{1}{256}), confirming that it is equal to 1 over 256.

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2mo ago

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