Assertion: 2⁰ + 3⁰ + 4⁰ = (2 + 3 + 4)⁰

Reason: x⁰ = 1.

1. Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
2. Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
3. Assertion (A) is true but Reason (R) is false.
4. Assertion (A) is false but Reason (R) is true.

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

Explanation

Assertion is false.

Let's evaluate both sides using the zero exponent rule:

LHS: 2⁰ + 3⁰ + 4⁰ = 1 + 1 + 1 = 3.

RHS: (2 + 3 + 4)⁰ = (9)⁰ = 1

Since 3 ≠ 1, the assertion is false.

Reason is true because, the rule x⁰ = 1 (for any non-zero x) is a fundamental law of exponents.

Hence, option 4 is the correct option.