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 = 2^(3×4) = 2^12. Then 2^12 can be seen as 2^10 × 2^2 = 1024 × 4 = 4096. Another quick check: 2^3 = 8, and 8^4 = (8^2)^2 = 64^2 = 4096. So the value is 4096.

When you raise a power to another power, you multiply the exponents. So (2^3)^4 = 2^(3×4) = 2^12. Then 2^12 can be seen as 2^10 × 2^2 = 1024 × 4 = 4096. Another quick check: 2^3 = 8, and 8^4 = (8^2)^2 = 64^2 = 4096. So the value is 4096.

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