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Lesson 12.2: Imaginary Numbers — Practice Questions

  1. 1. What is the simplified form of the expression $i^{-2}$? ___

  2. 2. Which of the following is equivalent to the expression $i^{-6}$?

    • A. 1
    • B. -1
    • C. i
    • D. -i
  3. 3. Simplify the expression $i^{-11}$ to its simplest form. ___

  4. 4. The expression $i^{-7}$ is equivalent to which of the following?

    • A. i
    • B. $i^2$
    • C. $i^3$
    • D. $i^4$
  5. 5. What is the value of $i^{-10}$? ___

  6. 6. Express the expression $\sqrt{-144}$ in terms of the imaginary unit $i$. The result is ___.

  7. 7. Which of the following expressions is equivalent to $\sqrt{-23}$?

    • A. 23i
    • B. -23i
    • C. $i\sqrt{23}$
    • D. $-i\sqrt{23}$
  8. 8. Simplify the expression $\sqrt{-72}$ and write it in terms of $i$. Your answer should be ___.

  9. 9. By definition, the imaginary unit $i$ is the number whose square is -1. What is the value of $i^2$?

    • A. 1
    • B. -1
    • C. $\sqrt{-1}$
    • D. i
  10. 10. Write the expression $\sqrt{-50}$ in its simplest form in terms of $i$. The answer is ___.