SAT Math Multiple Choice Question 622: Answer and Explanation

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Question: 622

7. If Images, where n > 0, what is the value of m in terms of n?

  • A. Images
  • B. Images
  • C. Images
  • D. Images

Correct Answer: A

Explanation:

A

Advanced Mathematics (radical and exponential equations) MEDIUM

For this question, we need to know two Laws of Exponentials from Chapter 9: Law #8 and Law #9. First, we use Law #9 to translate the radicals into exponents.

Given equation:

Images

Apply Law of Exponentials #9:

Images

Apply Law of Exponentials #9 again:

Images

Apply Law of Exponentials #8:

Images

Raise to the Images power:

Images

Apply Law of Exponentials #8 again:

Images

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