MCQ
$\left[(-3)^2\right]^3$ is equal to:
- A$(-3)^8$
- ✓$(-3)^6$
- C$(-3)^5$
- D$(-3)^{23}$
✓
Answer
Correct option: B.
$(-3)^6$
We know that, if ' $a$ ' is a rational number, $m$ and $n$ are natural numbers, then.
$\left(a^m\right)^n=a^{m \times n}$
$\text { So, }\left[(-3)^2\right]^3$
$=(-3)^{2 \times 3}$
$=(-3)^6$
$\left(a^m\right)^n=a^{m \times n}$
$\text { So, }\left[(-3)^2\right]^3$
$=(-3)^{2 \times 3}$
$=(-3)^6$
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