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Simplify the following expression. O A. 12 O. B. 64 O C. \( \frac{1}{64} \) O D. \( \frac{1}{12} \) \( 4^{-\frac{\mu}{3}} \div 4^{-\hat{i}} \) Reset

Ask by Little Lyons. in the United States
Feb 03,2025

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The simplified expression is \( \frac{1}{64} \).

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Bonus Knowledge

To simplify the expression \( 4^{-\frac{\mu}{3}} \div 4^{-\hat{i}} \), you can use the rule of exponents that states \( a^m \div a^n = a^{m-n} \). Applying this, we have: \[ 4^{-\frac{\mu}{3}} \div 4^{-\hat{i}} = 4^{-\frac{\mu}{3} - (-\hat{i})} = 4^{-\frac{\mu}{3} + \hat{i}} = 4^{\hat{i} - \frac{\mu}{3}} \] Now, without specific values for \( \mu \) or \( \hat{i} \), we can't simplify further. But if either of these represents values that simplify to specific whole numbers or fractions, calculating them directly will give you your answer! So, keep an eye on those values – they might just unlock your result!

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