The value of $\sqrt[4]{(81)^{-2}}$ is

1. $\dfrac{1}{9}$

2. $\dfrac{1}{3}$

3. 9

4. $\dfrac{1}{81}$

Value of (256)^0.16 × (256)^0.09 is

1. 4

2. 16

3. 64

4. 256.25

Consider the following two statements.

Statement 1: 3^m + 2ⁿ = 5^{m + n}

Statement 2: a^m + bⁿ = (a + b)^{m + n}, where a, b, m, n are positive integers.

Which of the following is valid?

1. Both the statements are true.

2. Both the statements are false.

3. Statement 1 is true, and Statement 2 is false.

4. Statement 1 is false, and Statement 2 is true.

Assertion (A): If 2^x.3^y.5^z = 16200, then x = 3, y = 4, z = 2.

Reason (R): If p, q are different prime numbers, then p^m.qⁿ = p^l.q^k ⇒ m = l and n = k

1. Assertion (A) is true, Reason (R) is false.

2. Assertion (A) is false, Reason (R) is true.

3. Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct reason for Assertion (A).

4. Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct reason (or explanation) for Assertion (A).