(a^n)^m equals which expression?

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Prepare for the Praxis Middle School Mathematics Exam with quizzes. Study with flashcards and multiple choice questions. Each question provides hints and detailed explanations. Ensure success on your test!

Multiple Choice

(a^n)^m equals which expression?

Explanation:
When you have a power inside another power, you multiply the exponents. So (a^n)^m equals a^(n*m). Think of it as repeating the a^n block m times, which gives a total of n×m copies of a. For example, (a^2)^3 = a^6. The operation happening to the exponents is multiplication, not addition, subtraction, or division, which is why the correct description is that the exponents are multiplied.

When you have a power inside another power, you multiply the exponents. So (a^n)^m equals a^(n*m). Think of it as repeating the a^n block m times, which gives a total of n×m copies of a. For example, (a^2)^3 = a^6. The operation happening to the exponents is multiplication, not addition, subtraction, or division, which is why the correct description is that the exponents are multiplied.

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