Assertion (A): 25^{2025-2020-2-2-1} = 1.

Reason (R): Any number raised to the power zero (0) is always equals to 1.

1. A is true, R is false.
2. A is false, R is true.
3. Both A and R are true.
4. Both A and R are false.

Both A and R are true.

Explanation

Given,

25^{2025-2020-2-2-1} = 1

Taking L.H.S.,

= 25^{(2025-2020)-2-2-1}

= 25^5-2-2-1

= 25⁰

= 1

R.H.S. = 1

∴ L.H.S. = R.H.S.

∴ Assertion (A) is true.

According to laws of exponents, any non-zero number raised to the power of 0 is equal to 1.

∴ Reason (R) is true.

Hence, both Assertion (A) and Reason (R) are true.