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\( \frac{4^{12}}{4^{7}} \) O. \( 1^{5} \) Oc. \( 4^{-3} \)

Ask by Barnett Whittaker. in Saudi Arabia
Jan 21,2025

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The expression \( \frac{4^{12}}{4^{7}} \) simplifies to 1024.

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Beyond the Answer

To simplify \( \frac{4^{12}}{4^{7}} \), you can subtract the exponents since the bases are the same. This means \( 4^{12-7} = 4^{5} \), which is \( 4^{5} \). So, the expression simplifies to \( 4^{5} \). Now, if you're thinking about the equivalent form quickly, remember that \( 4^{5} \) can also be expressed as \( 1^{5} \) in a roundabout way, but it doesn't give us \( 4^{-3} \) as one might think; \( 4^{-3} \) equals \( \frac{1}{4^{3}} \). Stay sharp on those exponent rules!

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