Compute (2x)^3.

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Study for the 8th Grade FAST Mathematics Pre-Algebra Test. Enhance your skills with interactive flashcards and multiple choice questions, each containing hints and explanations to boost your comprehension and readiness for the exam. Get ready to ace your test!

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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