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