# SAT Math Multiple Choice Question 945: Answer and Explanation

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**Question: 945**

**13.** What is the value of?

- A. -
*i* - B.
*i* - C. -1
- D. 1

**Correct Answer:** C

**Explanation:**

**C**

**Difficulty:** Easy

**Category:** Additional Topics in Math / Imaginary Numbers

**Strategic Advice:** Powers of *i* cycle in the pattern *i*, -1, -*i*, 1. Memorizing this pattern may save you valuable time on Test Day. To determine the value of a high power of *i*, divide the exponent by 4 (the number of terms in the cycle). The remainder tells you which term in the pattern is the answer. For example, *i*^{11} = *i*^{3} because.

**Getting to the Answer:** When 48 is divided by 4, the remainder is 0; therefore, *i*^{48} = *i*^{4}, which is 1. Don't forget about the negative sign in front of it, though. This makes the correct answer -1, which is (C).