what is 2 x 3^-4/5^2

Answer 1

To solve this, we'll do the operations in the following order:

1. Evaluate the exponents
2. Calculate the division
3. Multiply the result by 2

Let's start:

1. 3^-4 means we take the reciprocal of 3^4. Thus, 3^-4 = 1/(3^4) = 1/81.
2. Similarly, 5^2 = 25.
3. Now, we divide 1/81 by 25: 1/81 ÷ 25 = 1/81 × 1/25 = 1/(81 × 25) = 1/2025.

Finally, multiply this result by 2:
2 × 1/2025 = 2/2025.

Therefore, 2 x 3^-4/5^2 = 2/2025.