Compute (2x)^3.

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Study for the 8th Grade Mathematics Test. Prepare with multiple choice questions, each with hints and explanations. Get ready for your exam!

Multiple Choice

Compute (2x)^3.

Explanation:
When a product is raised to a power, you apply the exponent to each factor: (ab)^n = a^n b^n. So (2x)^3 = 2^3 · x^3. Since 2^3 is 8, the result is 8x^3. This shows why both parts get cubed, not just one. The other forms come from common mistakes like cubing only the x part or incorrectly changing the numeric factor.

When a product is raised to a power, you apply the exponent to each factor: (ab)^n = a^n b^n. So (2x)^3 = 2^3 · x^3. Since 2^3 is 8, the result is 8x^3. This shows why both parts get cubed, not just one. The other forms come from common mistakes like cubing only the x part or incorrectly changing the numeric factor.

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