The correct answer is: [C}: " 3 ⁻ ¹ " .
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<u>Note</u>: " 3 = 3 ¹ " .
→ " 3 ⁻ ¹ = 1 / (3 ¹) = 1 /3 = " .
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Let us consider the remaining answer choices:
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Choice [A}: " ( - 1)³ " .
<u>Note</u>: " ( - 1)³ " = " { - 1 * - 1 * - 1 } " = " -1 " .
→ " -1 " ≠ " " .
→ So; Choice [A} is INCORRECT.
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Choice [B]: " (- 3)¹ " .
<u>Note</u>: " ( - 3)¹ " = " -3 " .
→ " -3 " ≠ " " .
→ So; Choice [B] is INCORRECT.
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→ The correct answer is: [C]: " 3 ⁻ ¹ . "
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Hope this was helpful!
Best of luck to you!
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