Assertion (A): (-2)^3=-8. Reason (R): For any negative integer x … - Vidyadip

MCQ

Assertion (A): $(-2)^3=-8$.
Reason (R): For any negative integer $x$ and any natural number $n, x^n$ is always negative.

A
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanatton of Assertion (A).
B
Both Assertion (A) and Reason (R) are true and Reason (R) Is not the correct explanatlon
of Assertion (A).
✓
Assertion (A) is true but Reason (R) is false.
D
Assertion (A) is false but Reason (R) is true.

✓

Answer

Correct option: C.

Assertion (A) is true but Reason (R) is false.

(c): $(-2)^3=(-2) \times(-2) \times(-2)=-8$.
$\therefore A$ is true.
Now, $(-2)^4=(-2) \times(-2) \times(-2) \times(-2)=16$.
$\therefore R$ is false.
Note: For a negative integer $x, x^n$ is positive if $n$ is an even natural number.

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