# SAT Math Multiple Choice Question 10: Answer and Explanation

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**Question: 10**

**6.** If 4^{x} · n^{2} = 4^{x + 1} · n and x and n are both positive integers, what is the value of n ?

- A. 2
- B. 4
- C. 6
- D. 8

**Correct Answer:** B

**Explanation:**

B First simplify the equation 4^{x} • n^{2} = 4^{x}^{+1} • n to 4^{x} • n = 4^{x}^{+1}, and then try an easy number for x. If x = 2, then 4^{2} • n = 4^{2+1}. Since 16n = 4^{3}, then 16n = 64. So n = 4 The correct answer is (B).