If a = 3 and b = 6, what is b raised to the a power?

Master the NLN PAX Mathematics 1 Exam with our comprehensive study guide and quizzes. Test your knowledge with multiple choice questions tailored for the PAX Math exam, featuring detailed explanations and tips to enhance your preparation and increase your chances of success.

Multiple Choice

If a = 3 and b = 6, what is b raised to the a power?

Explanation:
Exponentiation means multiplying the base by itself as many times as the exponent indicates. Here the base is 6 and the exponent is 3, so you multiply 6 by itself three times: 6 × 6 × 6. Compute step by step: 6 × 6 = 36, then 36 × 6 = 216. So 6^3 equals 216. This matches the given value, since 216 is the result of taking b to the power a. The other numbers come from different exponents or bases, so they don’t fit here.

Exponentiation means multiplying the base by itself as many times as the exponent indicates. Here the base is 6 and the exponent is 3, so you multiply 6 by itself three times: 6 × 6 × 6. Compute step by step: 6 × 6 = 36, then 36 × 6 = 216. So 6^3 equals 216. This matches the given value, since 216 is the result of taking b to the power a. The other numbers come from different exponents or bases, so they don’t fit here.

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