MCQ
$(-1)^{11}$ value is:
- A$+1$
- B$0$
- ✓$-1$
- DNone
✓
Answer
Correct option: C.
$-1$
The value of $(-1)^{11}$ is
$= (-1)^{1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1}$
$= (-1)^1 \times (-1)^1 \times (-1)^1 \times (-1)^1 \times (-1)^1 \times (-1)^1 \times (-1)^1 \times (-1)^1 \times (-1)^1 \times (-1)^1 \times (-1)^1$
$= -1$ As odd power of a negative number results in negative number only.
$= (-1)^{1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1}$
$= (-1)^1 \times (-1)^1 \times (-1)^1 \times (-1)^1 \times (-1)^1 \times (-1)^1 \times (-1)^1 \times (-1)^1 \times (-1)^1 \times (-1)^1 \times (-1)^1$
$= -1$ As odd power of a negative number results in negative number only.
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