(2^3)^4 = 2^12 = 4096.

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Multiple Choice

(2^3)^4 = 2^12 = 4096.

Explanation:
When you raise a power to another power, you multiply the exponents: (a^m)^n = a^(m×n). Here, 2^3 is raised to the 4th power, so the exponent becomes 3×4 = 12. That gives 2^12. To evaluate, 2^10 is 1024, and doubling twice adds two more factors of 2, giving 2048 (2^11) and 4096 (2^12). So the value is 4096. The other possibilities would come from exponents 6, 8, or 10 if you didn’t multiply the exponents, but the correct rule yields the exponent 12, hence 4096.

When you raise a power to another power, you multiply the exponents: (a^m)^n = a^(m×n). Here, 2^3 is raised to the 4th power, so the exponent becomes 3×4 = 12. That gives 2^12. To evaluate, 2^10 is 1024, and doubling twice adds two more factors of 2, giving 2048 (2^11) and 4096 (2^12). So the value is 4096. The other possibilities would come from exponents 6, 8, or 10 if you didn’t multiply the exponents, but the correct rule yields the exponent 12, hence 4096.

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