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ACCUPLACER Advanced Algebra and Functions Review: Apply the laws of exponents

Review apply the laws of exponents for this ACCUPLACER Advanced Algebra and Functions question with the key prompt clue, correct-answer reasoning, distractor checks, and sources to verify next.

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What this question is testing

Objective: Apply the laws of exponents

Prompt focus: Simplify the expression (2x squared) cubed.

Why the correct answer works

8x to the sixth power

Cubing each factor gives 2 cubed which is 8, and x squared cubed which is x to the sixth.

Why the tempting wrong answer fails

The tempting wrong answer usually loses because it skips the key condition, priority, or evidence in the prompt.

Plain-language takeaway

Raise each factor to the third power. Two cubed is 8, and x squared raised to the third power is x to the sixth, since exponents multiply. The result is 8x to the sixth power.

Simple analogy

Think of apply the laws of exponents like following a short checklist: identify the clue, confirm the rule, and then make the move that fits this exact scenario.

How to review it before a retake

  • Underline the command word and name what the question is asking before rereading the choices.
  • Compare the correct answer against the closest distractor and write the exact detail that separates them.
  • Retest this objective with a fresh question without looking at the rationale first.

Sources to verify next