Evaluate (2^3)^4.

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Multiple Choice

Evaluate (2^3)^4.

Explanation:
When you raise a power to another power, you multiply the exponents. So (2^3)^4 becomes 2^(3×4) = 2^12. Evaluating 2^12: 2^10 = 1024, and 2^12 = 1024×4 = 4096. Alternatively, 2^3 = 8 and 8^4 = 4096. Therefore the result is 4096.

When you raise a power to another power, you multiply the exponents. So (2^3)^4 becomes 2^(3×4) = 2^12. Evaluating 2^12: 2^10 = 1024, and 2^12 = 1024×4 = 4096. Alternatively, 2^3 = 8 and 8^4 = 4096. Therefore the result is 4096.

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