MCQ
$[(-3)^2]^3$ 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.
$(a^m)^n = a^{m \times n}$
So, $[(-3)^2 ]^3$
$= (-3)^{2 \times 3}$
$= (-3)^6$

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