Question
0 Write as a single power of 2 : \[ \frac{2^{-8} \times 2}{2^{-3}} \]
Ask by Graham Chavez. in the United Kingdom
Feb 04,2025
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Answer
The expression simplifies to \(2^{-4}\).
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Mind Expander
To simplify the expression, we can use the properties of exponents. First, we will simplify the numerator: \[ 2^{-8} \times 2 = 2^{-8} \times 2^1 = 2^{-8 + 1} = 2^{-7}. \] Next, we divide by the denominator: \[ \frac{2^{-7}}{2^{-3}} = 2^{-7 - (-3)} = 2^{-7 + 3} = 2^{-4}. \] Thus, the expression simplifies to: \[ 2^{-4}. \] So, the final answer is: \[ 2^{-4}. \]