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Answer
\( 8^{10} \div 8^{5} \div 8 = 4096 \)
Solution
d) \( 8^{10} \div 8^{5} \div 8 = 4096 \)
**Explicación:**
\[
8^{10} \div 8^{5} \div 8 = \frac{8^{10}}{8^{5}} \div 8 = 8^{10-5} \div 8 = 8^{5} \div 8 = 8^{5-1} = 8^{4} = 4096
\]
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Simplify this solution Beyond the Answer
To solve \( 8^{10} \div 8^{5} \div 8 \), we start by applying the property of exponents that states \( a^m \div a^n = a^{m-n} \). First, we handle the first two terms: \[ 8^{10} \div 8^{5} = 8^{10-5} = 8^5. \] Now, we divide \( 8^5 \) by \( 8 \): \[ 8^5 \div 8 = 8^{5-1} = 8^4. \] Finally, we can calculate \( 8^4 \): \[ 8^4 = (2^3)^4 = 2^{12} = 4096. \] So, the answer is \( 4096 \).
